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V PUBLICATION-MATRICES-QUESTION BANK
- If A=[[0, -tan (alpha/2)], [ tan (alpha/2), 0]] and I is the identi...
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- A trust fund has Rs. 30,000 that must be invested in two different typ...
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- The bookshop of a particular school has 10 dozen chemistry books, 8 do...
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- Assume that X,Y,Z,W and P are matrices of order 2xxn, 3xxk, 2xxp, nx...
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- Assume that X,Y,Z,W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx...
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- If A=[[3 ,sqrt3, 2],[ 4 , 2, 0]] and B=[[2 , (-1), 2],[ 1, 2, 4...
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- If A=[[-2],[4],[5]] B=[[1,3,6]] (AB)^T=B^TA^T
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- For any square matrix A with real number entries.Prove that A+A^' is a...
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- Prove that any square matrix can be expressed as the sum of a symmetic...
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- Express the matrix [[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a ...
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- Find the transpose of each of the following matrices: (i) [[5], [1/2]...
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- If A=[[-1, 2, 3],[ 5, 7, 9],[ -2, 1 , 1]] and B=[[-4 , 1, -5],[ ...
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- If A^'=[[3, 4],[ -1, 2],[ 0, 1]] and B=[[-1, 2 , 1],[ 1,2, 3]] ...
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- If A^'=[[-2, 3],[ 1, 2]] and B=[[-1, 0],[ 1, 2]], then find (A+2...
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- For the matrices A and B verify that, (AB)^'=B^' A^', where i) A=[[1...
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- if A=[[sin alpha, cos alpha],[-cos alpha, sin alpha]], then verify A^T...
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- show that the matrix A= [[1,-1,5],[-1,2,1],[5,1,3]] is a symmetric mat...
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- For the matrix A=[[1 , 5],[ 6 , 7]], verify that i) (A+A^') is a sym...
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- Find 1/2 (A+A^T) and 1/2(A-A^T) where A=[[0,a,b],[-a,0,c],[-b,-c,0]]
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- Express the following matrices as the sum of a Symmetric and a Skew Sy...
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