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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
- If A=[[costheta,isintheta],[isintheta,costheta]], then prove by princ...
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- Let A=[[1,-1, 0],[ 2, 1, 3],[ 1, 2, 1]] a n d B=[[1 ,2, 3],[ 2, 1, 3],...
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- If [[xy, 4],[z+6, x+y]]=[[8, w],[0, 6]], write the value of (x+y+z)dot
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- If A=[a(i j)] is a skew-symmetric matrix, then write the value of sumi...
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- Express the matrix [3-2-4 3-2-5-1 1 2] as the sum of a symmetric and s...
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- Show that the elements on the main diagonal of a skew-symmetric matrix...
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- If A is a skew-symmetric and n in N such that (A^n)^T=lambdaA^n , wri...
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- If A is a skew-symmetric matrix and n is an odd natural number, write ...
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- Show that the matrix B^TA B is symmetric or skew-symmetric according a...
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- If A is a symmetric matrix and n in N , write whether A^n is symmetri...
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- If S=[S(i j)] is a scalar matrix such that s(i i)= k and A is a square...
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- If A is a square matrix, using mathematical induction prove that (A^T)...
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- If A and B are square matrices of the same order such that A B=B A , t...
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- There are 2 families A and B. There are 4 men, 6 women and 2 children ...
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- If A={:[(-1),(2),(3)]:} and B=[-2" "-1" "-4] then verify that (AB)^(T)...
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- If: [(xy,5x) , (z+6,y^2+1)]=[(8,w),(0,6)], then find the values of x ,...
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- The sales figure of two car dealers during January 2013 showed that ...
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- If A^T=[[3, 4],[-1, 2], [0 ,1]] and B=[[-1, 2, 1],[ 1, 2, 3]], find A^...
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- If l1,""""m1,""""n1 and l2,""""m2,""""n2 are the direction cosines ...
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- Construct a 2xx3 matrix A=[a(i j)] whose elements are given by a(i j)=...
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