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ORDER BY `video_id` desc Matrices 12th Standard CBSE Maths If \(\left[ \begin{matrix} x & +3y & y \\ 7 & -x & 4 \end{matrix} \right] \)=\(\begin{bmatrix} 4 & -1 \\ 0 & 4 \end{bmatrix}\), find the values of x and y. If matrix A = \([\begin{matrix} 1 & 2 & 3 \end{matrix}]\) write AA' , where A' is the transpose of matrix A. If \(\left[ \begin{matrix} y & +2x & 5 \\ & -x & 3 \end{matrix} \right] =\begin{bmatrix} 7 & 5 \\ -2 & 3 \end{bmatrix}\), find the value of y. If \(A=\left[ { a }_{ ij } \right] =\left[ \begin{matrix} 2 & 3 & -5 \\ 1 & 4 & 9 \\ 0 & 7 & -2 \end{matrix} \right] andb=\left[ { b }_{ ij } \right] =\left[ \begin{matrix} 2 & 1 & -1 \\ -3 & 4 & 4 \\ 1 & 5 & 2 \end{matrix} \right] ,then\quad find\quad { a }_{ 22 }+{ b }_{ 21 }.\) If \(\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}\begin{bmatrix} 3 & 1 \\ 2 & 5 \end{bmatrix}=\begin{bmatrix} 7 & 11 \\ k & 23 \end{bmatrix}\), find the value of k. If A and B are invertible matrices of the same order, then (AB)–1 = B–1 A–1. Let A = [aij]be a matric of order 2 x 3 and aij = \(\frac { i-j }{ i+j } \), write the value of a23 if \(\left[ \begin{matrix} a+b & 2 \\ 5 & ab \end{matrix} \right] =\left[ \begin{matrix} 6 & 2 \\ 5 & 8 \end{matrix} \right] \)find the relation between a and b It is possible to have the product of two matrices to be the null matrix. Write the order of matrix B if any matrix of order m x n such that AB and BA both are defined If \(A=\left[ \begin{matrix} 1 & 4 \\ 3 & 2 \\ 2 & 1 \end{matrix} \right] B=\left[ \begin{matrix} 5 & 2 \\ -1 & 0 \\ 1 & 1 \end{matrix} \right] \), then find the matrix X for which A + B - X = 0. Solve the matrix equation \(\left[ \begin{matrix} { x }^{ 2 } \\ { y }^{ 2 } \end{matrix} \right] -3\left[ \begin{matrix} x \\ 2y \end{matrix} \right] =\left[ \begin{matrix} -2 \\ -9 \end{matrix} \right] \) Find the value of X and Y if If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements? If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements? If \(A=\left[ \begin{matrix} 3 & 1 & -1 \\ 0 & 1 & 2 \end{matrix} \right] \) , then show that \(AA\prime \) is a symmetric matrix. Show that: \(\left[ \left( \begin{matrix} 1 & \omega & { \omega }^{ 2 } \\ \omega & { \omega }^{ 2 } & 1 \\ { \omega }^{ 2 } & 1 & \omega \end{matrix} \right) +\left( \begin{matrix} \omega & { \omega }^{ 2 } & 1 \\ { \omega }^{ 2 } & 1 & \omega \\ \omega & { \omega }^{ 2 } & 1 \end{matrix} \right) \right] \left[ \begin{matrix} 1 \\ \omega \\ { \omega }^{ 2 } \end{matrix} \right] =\left[ \begin{matrix} 0 \\ 0 \\ 0 \end{matrix} \right] ,\) where \(\omega \) is a cube root of unity. If \(A=\left[ \begin{matrix} 1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1 \end{matrix} \right] \), verify that \({ A }^{ 2 }-4A-5l=0\) Obtain the inverse of the following matrix, using elementary operations : \(A=\left[ \begin{matrix} 3 & 0 & -1 \\ 2 & 3 & 0 \\ 0 & 4 & 1 \end{matrix} \right] \) Find matrix A such that 2A - 3B + 5C = 0 Where \(B=\left[ \begin{matrix} -2 & 2 & 0 \\ 3 & 1 & 4 \end{matrix} \right] \)\(C=\left[ \begin{matrix} 2 & 0 & -2 \\ 7 & 1 & 6 \end{matrix} \right] \) Find the values of x and y for which the following matrix equation A-3B = C is satisfied, where \(A=\left[ \begin{matrix} { x }^{ 2 } \\ { y }^{ 2 } \end{matrix} \right] \), \(B=\left[ \begin{matrix} x \\ 2y \end{matrix} \right] \),\(c=\left[ \begin{matrix} -2 \\ 9 \end{matrix} \right] \) Let f(x) = x2 - 5x+6 find f(A) If, A =\(\left[ \begin{matrix} 2 & 0 & 1 \\ 2 & 1 & 3 \\ 1 & -1 & 0 \end{matrix} \right] \) A shopkeeper has 3 varieties of pen 'A' , 'B' and 'C'. Meenu purchase 1 pen of each variety for a total of Rs. 21. Jeevan purchase 4 pens of 'A' variety, 3 pen say 'B' variety and 2 pens of 'C' variety for Rs. 60. While Shikha purchased 6 pens of 'A' variety, 2 pens of 'B' variety and 3 pens of 'C' variety for Rs. 70. Using matrix method, find cost of each variety of pen. If \(A=\left( \begin{matrix} 1 & 3 & 2 \\ 2 & 0 & -1 \\ 1 & 2 & 3 \end{matrix} \right) \), then show that A3 - 4A2 - 3A + 11I = 0 If \(A=\left[ \begin{matrix} 1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1 \end{matrix} \right] \) Prove that , A =\(\left[ \begin{matrix} { 3 }^{ x-1 } & { 3 }^{ x-1 } & { 3 }^{ x-1 } \\ { 3 }^{ x-1 } & { 3 }^{ x-1 } & { 3 }^{ x-1 } \\ { 3 }^{ x-1 } & { 3 }^{ x-1 } & { 3 }^{ x-1 } \end{matrix} \right] \) for every positive integer n.
12th Standard CBSE Mathematics Unit 3 Matrices Important Question Paper
Shalini Sharma - Udaipur Jul-26 , 2019
Matrices Important Question Paper
Reg.No. :
While neither of them is the null matrix? if it is so, give an example
\(X+Y=\left[ \begin{matrix} 2 & 3 \\ 5 & 1 \end{matrix} \right] ,X-Y=\left[ \begin{matrix} 6 & 5 \\ 7 & 3 \end{matrix} \right] \)
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