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If [2-1 1 0-3 4]A=[-1-8-10 1-2-5 9 22 15...

If `[2-1 1 0-3 4]A=[-1-8-10 1-2-5 9 22 15],fin dAdot`

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If [(2,-1),(1,0),(-3,4)]A=[(-1,-8,-10),(1,-2,-5),(9,22,15)] , find A.

If [(2,-1), (1, 0),(-3, 4)]A=[(-1, -8, -10), (1, -2, -5), (9, 22, 15)] , then sum of all the elements of matrix A is 0 b. 1 c. 2 d. -3

If [[2,-1],[1,0],[-3,4]]A=[[-1,-8,-10],[1,-2,-5],[9,22,15]] , then sum of all the elements of matrix A is

Find the matrix A such that [{:(2,-1), (1,0),(-3,4):}]A=[{:(-1,-8,-10),(1,-2,-5),(9,22,15):}]

If [9-1 4-2 1 3]=A+[1 2-1 0 4 9] , then find matrix Adot

Given the matrices A=[2 1 1 3-1 0 0 2 4] , B=[9 7-1 3 5 4 2 1 6] and C=[2-4 3 1-1 0 9 4 5] Verify that (A+B)+C=A+(B+C) .

Find matrix A , if [1 2-1 0 4 9]+A=[9-1 4-2 1 3] .

If A=[[1, 1,-2],[ 2, 1,-3],[ 5, 4,-9]] . Find |A| .

If A=[(2, 0,-3),( 4, 3, 1),(-5, 7, 2)] is expressed as the sum of a symmetric and skew-symmetric matrix, then the symmetric matrix is (a) [(2, 2,-4 ),(2, 3, 4),(-4, 4, 2)] (b) [(2, 4,-5),( 0, 3, 7),(-3, 1, 2)] (c) [(4, 4,-8),( 4, 6, 8),(-8, 8, 4)] (d) [(1, 0 ,0 ),(0 ,1 ,0),( 0, 0, 1)]

If A^(-1) =[(3,-1,1),(-15,6,-5),(5,-2,2)] and B = [(1,2,-2), (-1,3,0), (0,-2,1)] find (AB)^(-1)

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. Find the value of x such that [1x1][1 3 2 2 5 1 15 3 2][1 2x]=0

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  2. If A= [[1 , 0],[ − 1, 7]] and I=[[1, 0],[ 0 ,1]] , then find k so that...

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  3. If [2-1 1 0-3 4]A=[-1-8-10 1-2-5 9 22 15],fin dAdot

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  4. Let f(x)=x^2-5x+6 then find f(A) when A=[[2,0,1] , [2,1,3] , [1, -1, 0...

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  5. If A=[3 1-1 2], show that A^2-5A+7I=0

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  6. Prove the following by principle of mathematical induction If A=[[3,-4...

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  7. If Aalpha=[[cosalpha ,sinalpha],[-sinalpha,cosalpha]] , then prove tha...

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  8. If Aalpha=[cosalphasinalpha-sinalphacosalpha] , then prove that (Aalph...

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  9. If a is a non-zero real or complex number. Use the principle of mat...

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  10. If A=[(1 1 1),( 1 1 1),( 1 1 1)] , then prove that A^n=|(3^(n-1)3^(n-1...

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  11. Under what conditions is the matrix equation A^2-B^2=(A-B)(A+B) is ...

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  12. If A is any mxxn such that A B and B A are both defined show that B...

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  13. A ,\ B are two matrices such that A B and A+B are both defined; sho...

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  14. If A and B are square matrices of order n , then prove that A and B...

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  15. If A B=A and B A=B , then show that A^2=A , B^2=B .

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  16. Give an example of two matrices A and B such that A!=O ,\ \ B!=O ,\ ...

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  17. Give an example of three matrices A ,\ B ,\ C such that A B=A C but...

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  18. There are 2 families A and B. There are 4 men, 6 women and 2 children ...

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  19. Use matrix multiplication to divide Rs. 30,000 in two parts such that ...

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  20. Three schools A ,\ B and C organised a mela for collecting funds fo...

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