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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
- If [(x y,4),(z+6,x+y)]=[(8,w),(0, 6)] , write the value of (x+y+z) .
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- Construct a 2xx2 matrix A=[a(i j)] whose elements a(i j) are given by ...
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- If [x+y x-y]=[2 1 4 3][1-2] , then write the value of (x ,\ y) .
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- Matrix A=[0 2b-2 3 1 3 3a3-1] is given to be symmetric, find the value...
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- Write the number of all possible matrices of order 2xx2 with each e...
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- If [2\ \ 1\ \ 3][-1 0-1-1 1 0 0 1 1][1 0-1]=A , then write the order o...
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- If A=[3 5 7 9] is written as A=P+Q , where P is symmetric and Q is sk...
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- If A=[(1 ,0, 0),(0, 1,0),( a,b, -1)] , then A^2 is equal to (a) a n...
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- If A=[i0 0i],\ n in N , then A^(4n) equals [0i i0] (b) [0 0 0 0] (c) ...
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- If A and B are two matrices such that A B=A and B A=B , then B^...
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- If A B=A and B A=B , where A and B are square matrices, then B^2=B ...
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- If A and B are two matrices such that AB=B and BA=A , then A^2+B^2=
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- If [(cos\ (2pi)/7,-sin\ (2pi)/7),(sin\ (2pi)/7,cos\ (2pi)/7)]^k=[(1,0)...
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- If the matrix A B is zero, then It is not necessary that either A=O...
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- Let A=[(a,0, 0),( 0,a,0),( 0, 0,a)] , then A^n is equal to [(a^n,0,...
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- If A ,\ B are square matrices of order 3,\ A is non-singular and A ...
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- If A=[(n,0 ,0),( 0,n,0),( 0, 0,n)] and B=[(a1,a2,a3),(b1,b2,b3),(c1,c2...
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- If A=[(1,a),(0, 1)] , then A^n (where n in N) equals [(1,n a),(0,...
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- If A=[1 2x0 1 0 0 0 1] and B=[1-2y0 1 0 0 0 1] and A B=I3 , then x+y e...
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- If A=[1-1 2-1] , B=[a1b-1] and (A+B)^2=A^2+B^2 , then values of a and ...
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