if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=...

`if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?`

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To solve the equation \( X A Y = I \), where \( X = \begin{pmatrix} 2 & 1 \\ 3 & 2 \end{pmatrix} \), \( Y = \begin{pmatrix} -3 & 2 \\ 5 & -3 \end{pmatrix} \), and \( I = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \), we will find the matrix \( A \). ### Step-by-Step Solution: 1. **Identify the Matrices**: - Let \( X = \begin{pmatrix} 2 & 1 \\ 3 & 2 \end{pmatrix} \) - Let \( Y = \begin{pmatrix} -3 & 2 \\ 5 & -3 \end{pmatrix} \) - Let \( I = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \) ...

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NCERT EXEMPLAR ENGLISH-MATRICES-Solved example

Find the value of x, if [1x1][{:(1,3,2),(2,5,1),(15,3,2):}][{:(1),(2),...
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if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?
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Give an example of three matrices A ,\ B ,\ C such that A B=A C but...
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If P=[x0 0 0y0 0 0z] and Q=[a0 0 0b0 0 0c] , prove that P Q=[x a0 0 0y...
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If A=[{:(0,-1,2),(4,3,-4):}] and B=[{:(4,0),(1,3),(2,6):}] then verify...
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If A=[{:(1,2),(4,1),(5,6):}] and B=[{:(1,2),(6,4),(7,3):}], then varif...
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Show that A' A and A A' are both symmetric matrices for any matrix A.
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