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RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
- Find the non-singular matrices A, if its is given that adj(A)=[[-1,-2,...
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- If A is a non-singular matrix, prove that: adjA is also non -singular...
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- If A is a non-singular matrix, prove that (a d jA)^(-1)=(a d jA^(-1))d...
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- Find the matrix A such that |A|=2\ a n d\ a d j(A)=[(2, 2, 0),( 2, 5, ...
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- If A is a square matrix of order 3 such that |A|=2 , then write the va...
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- If A is a square matrix of order 3 such that |A| =3, then find the va...
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- Compute the adjoint of the matrix A given by A=[[1, 4, 5],[ 3 ,2, 6],[...
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- Find the inverse of the matrix A=[[8,4,2],[2,9,4],[1,2,8]]
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- If A is a square matrix of order n , prove that |Aa d jA|=|A|^n
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- Find the adjoint of matrix A=[a(i j)]=[[1, 1, 1],[ 2, 1,-3],[-1, 2, 3]...
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- For the matrix A=[[3 ,1],[ 7, 5]], find x and y sot that A^2+x I+y A...
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- Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equatio...
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- If A=[(cosalpha,-sinalpha,0),(sinalpha,cosalpha,0),( 0, 0, 1)], find a...
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- If A=[[1,tanx],[-tanx,1]], show that A^T A^(-1)=[[cos2x,-sin2x],[sin2...
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- If matrix A=[02 y z x y-zx-yz] satisfies AT = A-1, then find the valu...
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- Find a 2x2 matrix B such that B[1-2 1 4]=[6 0 0 6]
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- Find the matrix A satisfying the matrix equation [2 1 3 2]A[-3 2 5-3]...
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- If A is a symmetric matrix, write whether A^T is symmetric or skew-sym...
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- Using elementary row transformation find the inverse of the matrix A=[...
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- Let A be a non-singular matrix. Show that A^T A^(-1) is symmetric if...
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