All you need of Engineering Mathematics at this link: All Tests, Videos & Notes of Engineering Mathematics : Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev notes for Engineering Mathematics is made by best teachers who have written some of the best books of The matrix A, maps the point P(2,5) onto the point Q( 1,2)− . D1 solution bank D2 solution bank FP1 solution bank    5  \\ (i) the order of the matrix, (ii) the number of elements, (iii)write the lements a 13, a 21, a 33, a 24, a 23. Question 1. Matrix equations. D)-6 -12 925 1) Perform the matrix operation. this is your one stop solution. Thus, the product is not possible. Find the matrix product AB, if it is defined. Question 22. For more practice, you can visit on figure matrix questions with answers of non-verbal reasoning as well as maths questions and answers for bank exams. Questions are expected in the various sections of the question paper corresponding to (i) Very Short Answer Type (VSA) Questions: 1 Mark, (ii) Short Answer Type (SA) Questions: 2 Marks, (iii) Long Answer Type I (LA-I) Questions: 4 Marks, and The document Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev is a part of.  is equal to [DCE 2002], Let $A=\left( \begin{matrix} 0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0 \\ \end{matrix} \right)$, the only correct statement about the matrix A is [AIEEE 2004], If $A=\left( \begin{matrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \\ \end{matrix} \right)$ and $B=\left( \begin{matrix} -5 & 7 & 1 \\ 1 & -5 & 7 \\ 7 & 1 & -5 \\ \end{matrix} \right)$ then $AB$ is equal to [Pb. You can download Free Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev pdf from EduRev by Refund Policy, You need to login to perform this action.You will be redirected in Free Question Bank for JEE Main & Advanced Mathematics Determinants & Matrices Expansion of determinants, Solution of equation in the form of determinants and properties of determinants Concept: Matrices Examples.    9 & 2 & 1  \\ Define a diagonal matrix. (June 2014) ... Answer: Question 8. 2002], Assuming that the sums and products given below are defined, which of the following is not true for matrices [Karnataka CET 2003], If $A=\left[ \begin{matrix} 1 & 2 & -1 \\ 3 & 0 & \,\,2 \\ 4 & 5 & \,\,0 \\ \end{matrix} \right]$, $B=\left[ \begin{matrix} 1 & 0 & 0 \\ 2 & 1 & 0 \\ 0 & 1 & 3 \\ \end{matrix} \right],$then $AB$ is [MP PET 2003], If A and B are $3\times 3$matrices such that $AB=A$ and $BA=B$, then [Orissa JEE 2003], If $A=\left[ \begin{matrix} \alpha & 0 \\ 1 & 1 \\ \end{matrix} \right]$and $B=\left[ \begin{matrix} 1 & 0 \\ 5 & 1 \\ \end{matrix} \right]$, then value of$\alpha$for which ${{A}^{2}}=B$, is [IIT Screening 2003], $\left[ \begin{matrix} Time Tables 15. 9 & 2 & 1 \\ By continuing, I agree that I am at least 13 years old and have read and agree to the. Solution: Question 3. Question 1. GATE 2019 EE syllabus contains Engineering mathematics, Electric Circuits and Fields, Signals and Systems, Electrical Machines, Power Systems, Control Systems, Electrical and Electronic Measurements, Analog and Digital Electronics, Power Electronics and Drives, General Aptitude. Concept Notes & Videos 285. Concept Notes & Videos 439. column matrix or a column vector. Jobs \left( \begin{matrix} x & x \\ x & x \\ \end{matrix} \right) \right|x\in R;\,x\ne 0\, \right\}$ with respect to matrix multiplication is [Karnataka CET 2005], question_answer107) If $A=\left[ \begin{matrix} 1 & 0 \\ 1 & 1 \\ \end{matrix} \right]$ and $I=\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]$, then which one of the following holds for all $n\ge 1$, (by the principal of mathematical induction) [AIEEE 2005], Copyright © 2007-2020 | Ncert Solutions a = − 1 , … Matrices and Determinants carry a total of 12-13 marks in the CBSE Class XII Board Examination. | JEE Maths Question Bank for Matrices: The students who are appearing for Joint Entrance Examination (JEE) can check the JEE Maths Question Bank for Matrices from this page. | | (June 2014) ... Answer: Question 8. Choose the one alternative that best completes the statement or answers the question. If A=(2,0,1,2,1,3,1,-1,0) Find A2-5a+4i And Hence Find a Matrix X Such That A2-5a+4i+X=O Concept: Operations on Matrices - Addition of Matrices. Privacy Policy    4  \\ Name Designation 1. No. Nov 29, 2020 - Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev is made by best teachers of Engineering Mathematics . | We have also provided number of questions asked since 2007 and average weightage for each subject. out Engineering Mathematics lecture & lessons summary in the same course for Engineering Mathematics Syllabus. CET 2000], If ${{a}_{ij}}=\frac{1}{2}(3i-2j)$and $A={{[{{a}_{ij}}]}_{2\times 2}}$, then A is equal to [RPET 2001], If $2X-\left[ \begin{matrix} 1 & 2 \\ 7 & 4 \\ \end{matrix} \right]=\left[ \begin{matrix} 3 & 2 \\ 0 & -2 \\ \end{matrix} \right]$, then X is equal to [RPET 2001], If $A=\left[ \begin{matrix} 1 & 2 \\ 0 & 1 \\ \end{matrix} \right],$then ${{A}^{n}}=$ [Kerala (Engg.) A is the 3x3 matrix of x, y and z coefficients; X is x, y and z, and ; B is 6, −4 and 27; Then (as shown on the Inverse of a Matrix page) the solution is this: . Syllabus. Free Question Bank for JEE Main & Advanced Mathematics Determinants & Matrices Expansion of determinants, Solution of equation in the form of determinants and properties of determinants    4  \\ Nov 29, 2020 - Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev is made by best teachers of Engineering Mathematics . FAQ C51 (Robert Beezer) Find all of the six-digit numbers in which the rst digit is one less than the second, the third digit is half the second, the fourth digit is three times the third and the last two digits form a Example Here is a matrix of size 2 3 (“2 by 3”), because it has 2 rows and 3 columns: 10 2 015 The matrix consists of 6 entries or elements. Students can Download Basic Maths Exercise 1.2 Questions and Answers, Notes Pdf, 2nd PUC Basic Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.. Karnataka 2nd PUC Basic Maths Question Bank Chapter 1 Matrices and Determinants Ex 1.2 It has gotten 12242 views and also has 4.7 rating. To Study Matrices - Question Bank, Mathematics, Engineering, Semester Engineering Mathematics Notes | EduRev for Engineering Mathematics | CET 2000], If $A=\left[ \begin{matrix} ab & {{b}^{2}} \\ -{{a}^{2}} & -ab \\ \end{matrix} \right]$and ${{A}^{n}}=O$, then the minimum value of n is, If $A=\left[ \begin{matrix} 1/3 & 2 \\ 0 & 2x-3 \\ \end{matrix} \right],B=\left[ \begin{matrix} 3 & 6 \\ 0 & -1 \\ \end{matrix} \right]$and $AB=I$, then x = [MP PET 1987], If $AB=C$, then matrices $A,B,C$are [MP PET 1991], If $A=\left[ \begin{matrix} \lambda & 1 \\ -1 & -\lambda \\ \end{matrix} \right]$, then for what value of $\lambda ,\,{{A}^{2}}=O$ [MP PET 1992], If $A=\left[ \begin{matrix} 0 & 1 & -2 \\ -1 & 0 & 5 \\ 2 & -5 & 0 \\ \end{matrix} \right]$, then [MNR 1982], If $A=\left[ \begin{matrix} 4 & 1 \\ 3 & 2 \\ \end{matrix} \right]$and $I=\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]$, ${{A}^{2}}-6A=$ [MP PET 1987], If $A=\left[ \begin{matrix} 1 & 2 & 3 \\ 5 & 0 & 7 \\ 6 & 2 & 5 \\ \end{matrix} \right]$and $B=\left[ \begin{matrix} 1 & 3 & 5 \\ 0 & 0 & 2 \\ \end{matrix} \right]$, then which of the following is defined, If $A=[1\,\,2\,\text{ }3]$and $B=\left[ \begin{matrix} -5 & 4 & 0 \\ 0 & 2 & -1 \\ 1 & -3 & 2 \\ \end{matrix} \right]$, then $AB=$ [MP PET 1988], If A is a $m\times n$matrix and B is a matrix such that both AB and BA are defined, then the order of B is, If A=\left[ \begin{align} & 1 \\ & 2 \\ & 3 \\ \end{align} \right],then $A{A}'=$ [MP PET 1992], If $\left[ \begin{matrix} 2 & -3 \\ 4 & 0 \\ \end{matrix} \right]-\left[ \begin{matrix} a & c \\ b & d \\ \end{matrix} \right]=\left[ \begin{matrix} 1 & 4 \\ 2 & -5 \\ \end{matrix} \right]$, then $(a,b,c,d)=$, If $A=\left[ \begin{matrix} -1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & -1 \\ \end{matrix} \right]$, then ${{A}^{2}}$is [MNR 1980], If $A=\left[ \begin{matrix} 0 & 2 & 0 \\ 0 & 0 & 3 \\ -2 & 2 & 0 \\ \end{matrix} \right]$and $B=\left[ \begin{matrix} 1 & 2 & 3 \\ 3 & 4 & 5 \\ 5 & -4 & 0 \\ \end{matrix} \right]$, then the element of 3rd row and third column in AB will be, If $A=\left[ \begin{matrix} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \\ \end{matrix} \right],$then ${{A}^{5}}=$ [MP PET 1995,1999; Pb. Matrices and Determinants carry a total of 12-13 marks in the CBSE Class XII Board Examination. Matrices Important Questions for CBSE Class 12 Matrix and Operations of Matrices Previous Year Examination Questions 1 Mark Questions. Question 5 (**) The 2 2× matrix A, is defined as 2 2 a b = − A where a and b are constants. )2002], If $A=\left( \begin{matrix} 2 & -1 \\ -1 & 2 \\ \end{matrix} \right)$and I is the unit matrix of order 2, then ${{A}^{2}}$ equals [Kerala (Engg.) Time Tables 18.    5  \\ | A)-12 -6 25 9 B) 3 -90 0025 C) AB is undefined. C1 solution bank C2 solution bank C3 solution bank. What does that mean? This question bank covers a wide range of questions so that candidates do not panic while solving the exam paper. CET 1990; DCE 2001], question_answer6) If $A=\left[ \begin{matrix} 1 & 1 \\ 0 & 1 \\ \end{matrix} \right]$, then ${{A}^{n}}=$ [RPET 1995], question_answer7) $AB=0$, if and only if [MNR 1981; Karnataka CET 1993], question_answer8) If $A=\left[ \begin{matrix} 2 & 2 \\ a & b \\ \end{matrix} \right]$and ${{A}^{2}}=O$, then $(a,b)=$, question_answer9) If [m n]$\left[ \begin{matrix} m \\ n \\ \end{matrix} \right]=[25]$ and m< n, then (m, n) =, question_answer10) $A=\left[ \begin{matrix} 4 & 6 & -1 \\ 3 & 0 & 2 \\ 1 & -2 & 5 \\ \end{matrix} \right]$,$B=\left[ \begin{matrix} 2 & 4 \\ 0 & 1 \\ -1 & 2 \\ \end{matrix} \right],\,\,C=\left[ \begin{matrix} 3 \\ 1 \\ 2 \\ \end{matrix} \right]$, then the expression which is not defined is [MP PET 1987], question_answer11) If $A=\left[ \begin{matrix} i & 0 \\ 0 & -i \\ \end{matrix} \right],B=\left[ \begin{matrix} 0 & i \\ i & 0 \\ \end{matrix} \right]$, where $i=\sqrt{-1}$, then the correct relation is, question_answer12) If the matrix $\left[ \begin{matrix} 1 & 3 & \lambda +2 \\ 2 & 4 & 8 \\ 3 & 5 & 10 \\ \end{matrix} \right]$is singular, then $\lambda =$ [MP PET 1990; Pb. CET 2002], question_answer104) What must be the matrix X if $2X+\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ \end{matrix} \right]=\left[ \begin{matrix} 3 & 8 \\ 7 & 2 \\ \end{matrix} \right]$ [Karnataka CET 2004], question_answer105) If $A+B=\left[ \begin{matrix} 1 & 0 \\ 1 & 1 \\ \end{matrix} \right]$and $A-2B=\left[ \begin{matrix} -1 & 1 \\ 0 & -1 \\ \end{matrix} \right]\,,$then A= [Karnataka CET 1994], question_answer106) The identity element in the group \[M=\left\{ \left. For the Matrices a and B, Verify that (Ab)T = Bt At, Where a = [ 1 3 2 4 ] , B = [ 1 4 2 5 ] Concept: Operations on Matrices - Multiplication of Matrices. Tests & Videos, you can search for the same too.
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