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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
- In a certain city there are 30 colleges. Each college has 15 peons, 6 ...
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- If A=[1-1 2 3],B=[2 1 1 0],p rov et h a t(A+B)^2!=A^2+2A B+B^2
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- Find a matrix X such that 2A+B+X=0 , where A= [-1 2 3 4],B=[3-2 1 5] ...
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- If X and Y are 2xx2 matrices, then solve the following matrix equat...
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- If A=[[alpha, 0], [1, 1]] and B=[[1 ,0],[ 5 ,1]], find the values of a...
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- Find the value of x such that [[1, x, 1]][[1 ,3, 2],[2, 5 ,1],[ 15 ,3 ...
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- If A=[[1,-1],[2,-1]],B=[[a,1],[b, -1]] and (A+B)^2=A^2+B^2, find the v...
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- If A= [[0, 1],[-1, 0]], find xand y such that (x I+y A)^2=A
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- If [(2,-1),(1,0),(-3,4)]A=[(-1,-8,-10),(1,-2,-5),(9,22,15)], find A.
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- Let f(x)=x^2-5x+6. Find f(A), if A=[[2, 0 ,1],[2, 1, 3],[ 1,-1, 0]]
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- If A and B are symmetric matrices of the same order, write whether AB-...
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- If A is a square matrix such that A^2=A ,then (I+A)^3-7A is equal to
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- If A is a square matrix such that A^2=A , then write the value of 7A-(...
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- Construct a 3xx4 matrix A=[a(i j)] whose elements are given by (i)a...
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- If [x-y2x+z2x-y3z+w]=[-1 5 0 13] , find x ,\ y ,\ z ,\ wdot
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- Find the values of x ,\ y ,\ z and a which satisfy the matrix equ...
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- A matrix has 12 elements. What are the possible orders it can have?
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- If A=[a(i j)] is a matrix given by A=[a(i j)]=[4 5 21\ \ -2 7 15\ \ 1 ...
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- A matrix has 12 elements. What are the possible orders it can have?
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- Construct a 2xx2 matrix A=[a(i j)] whose elements are given by a(i ...
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