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Find a matrix A ,ifA+[2 3-1 4]=[3-6-3 8]...

Find a matrix `A ,ifA+[2 3-1 4]=[3-6-3 8]`

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Given: `A+[(2, 3),(-1, 4)]=[(3,-6),(-3, 8)]`
We have to find A
As `A+[(2, 3),(-1, 4)]=[(3,-6),(-3, 8)]`
Then
`implies A=[(3,-6),(-3, 8)]-[(2, 3),(-1, 4)]`
`implies A=[(3-2,-6-3),(-3-(-1),8-4)]`
`implies A=[(1,-9),(-2,4)]`
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. If [[x,2]][[3],[ 4]]=2, find x

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  2. If A=[a(i j)] is a 2xx2 matrix such that a(i j)=i+2j , write A .

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  3. Find a matrix A ,ifA+[2 3-1 4]=[3-6-3 8]

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  4. If A=[a(i j)] is a square matrix such that a(i j)=i^2-j^2 , then wr...

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  5. For any square matrix write whether AA^T is symmetric or skew-symm...

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  6. If A=[a(i j)] is a skew-symmetric matrix, then write the value of s...

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  7. If A=[a(i j)] is a skew-symmetric matrix, then write the value of s...

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  8. If A and B are symmetric matrices, then write the condition for whi...

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  9. If B is a skew-symmetric matrix, write whether the matrix A B\ A^T ...

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  10. If B is a symmetric matrix, write whether the matrix A B\ A^T is sy...

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  11. If A is a skew-symmetric and n in N such that (A^n)^T=lambda\ A^n ...

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  12. If A is a symmetric matrix and n in N , write whether A^n is symme...

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  13. If A is a skew-symmetric matrix and n is an even natural number,...

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  14. If A and B are symmetric matrices of the same order, write whether ...

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  15. Write a square matrix which is both symmetric as well as skew-symme...

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  16. Find the values of x and y , if 2[(1, 3),( 0,x)]+[(y,0),( 1, 2)]=[(5...

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  17. If [(x+3, 4),(y,-4x+y)]=[(5 ,4),( 3 ,9)] , find x and y

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  18. Find the value of x and y from the following: [(2x,-y),(5, 3y)]=[(6, 5...

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  19. Find the value of y, if [(x-y,2),(x,5)]=[(2, 2 ),(3, 5)].

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  20. Find the value of x , if [(3x+y,-y),(2y-x,3)]=[(1, 2),(-5, 3)] .

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