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If [(2,-1),(1,0),(-3,4)]A=[(-1,-8,-10),(...

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

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To find the matrix \( A \) given the equation \[ \begin{pmatrix} 2 & -1 \\ 1 & 0 \\ -3 & 4 \end{pmatrix} A = \begin{pmatrix} -1 & -8 & -10 \\ 1 & -2 & -5 \\ 9 & 22 & 15 \end{pmatrix}, \] we will follow these steps: ...
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Find the matrix A such that [{:(2,-1),(1,0),(-3,4):}].A=[{:(-1,-8,-10),(1,-2,-5),(9,22,15):}].

Find matrix A such that [(2,-1),(1,0),(-3,4)]A=[(-1,-8),(1,-2),(9,22)] .

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

If A=[(1,2,3),(-1,0,2),(1,-8,-1)],B=[(4,5,6),(-1,0,1),(2,1,2)],C=[(-1,-2,1),(-1,2,3),(-1,-2,2)] , find (i) 2B-3C (ii) A-2B+3C .

If 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)]. Varify associative law for matrix addition.

If A=[(1,0),(3,-1),(-5,2)] and B=[(1,-2),(-2,2),(1,1)] , then find the matrix 'X' such that 3A + X = 5B.

If A^(-1)=[{:(,3,-1,-1),(,1,2,3),(,5,-2,2):}]=[{:(,1,2,-2),(,-1,3,0),(,0,-2,1):}]"find (AB)"^(-1) .

If A=[(1,-1,0),(2,3,4),(0,1,2)] and B=[(2,2,-4),(-4,2,-4),(2,-1,5)] , then :

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)

If A=[(1,2,5),(1,-1,1),(2,3,-1)] and B=[(2,2,-4),(-4,2,-4),(2,-1,5)] evaluate AB.

RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. 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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  2. If A= [[0, 1],[-1, 0]], find xand y such that (x I+y A)^2=A

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

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  4. 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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  5. If A and B are symmetric matrices of the same order, write whether AB-...

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  6. If A is a square matrix such that A^2=A ,then (I+A)^3-7A is equal to

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  7. If A is a square matrix such that A^2=A , then write the value of 7A-(...

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  8. Construct a 3xx4 matrix A=[a(i j)] whose elements are given by (i)a...

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  9. If [x-y2x+z2x-y3z+w]=[-1 5 0 13] , find x ,\ y ,\ z ,\ wdot

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  10. Find the values of x ,\ y ,\ z and a which satisfy the matrix equ...

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  11. A matrix has 12 elements. What are the possible orders it can have?

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  12. 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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  13. A matrix has 12 elements. What are the possible orders it can have?

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  14. Construct a 2xx2 matrix A=[a(i j)] whose elements are given by a(i ...

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  15. Construct a 2xx3 matrix A=[a(i j)] whose elements are given by a(i ...

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  16. Construct a 3xx2 matrix A=[a(i j)] whose elements are given by a(i ...

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  17. Find x ,\ y ,\ z and w such that [(x-y,2z+w),(2x-y,2x+w)]=[(5, 3 ),(...

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  18. Consider the following information regarding the number of men and ...

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  19. Find Value of K, for which A =[(K, 8),( 4, 2K)] is a singular matrix i...

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  20. For what values of x and y are the following matrices equal? A=[...

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