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If A = [(4,1),(7,2)] find a matrix B suc...

If A = `[(4,1),(7,2)]` find a matrix B such that AB = I where I is the unit matrix of order 2.

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The correct Answer is:
`[(3,-4),(-2,3)]`
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Let the metrix A be given by A = ((2,1),(3,4)) . Obtain a matrix B such that AB = BA = I where I is the unit matris of order 2. Using this matrix B, solve for x and y from the following equations: 2x + y = 15 and 3x + 4y = 23

If A = [(4,5),(5,6)] show that, A^(2) = 10A + I where I is the unit matrix or order 2. Hence, find the inverse of A.

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If A = [(2,2),(4,3)] show that, A A^(-1) =I_(2) wher I_(2) is the unit matrix of order 2.

If A = [[4,5],[5,6]] , show that A^2 = 10A + I where I is the unit matrix of order 2.

If A = [[2,2],[4,3]] show that A A^(-1) = I_2 where I_2 is the unit matrix of order 2.

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If A be a 2 times 2 matrix such that A^(2)=A , then show that (I-A)^(2)=I-A where I is the unit matrix of order 2 times 2 .

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CHHAYA PUBLICATION-ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD-VERY SHORT ANSWER TYPE QUESTIONS
  1. If B [(1,-1,1),(2,-1,0),(1,0,0)],does B^(-1) exist?

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  2. Show that , A = (1)/(sqrt2)[(1,1),(-1,1)] is a proper orthogonal matri...

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  3. If A = [(4,1),(7,2)] find a matrix B such that AB = I where I is the u...

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  4. Using elementary row transformations find the inverse of matrices: [...

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  5. Using elementary row transformations find the inverse of matrices: [(...

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  6. Using elementary row transformations find the inverse of matrices: [(...

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  7. Using elementary row transformations find the inverse of matrices: [(...

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  8. Find the inverse of following matrices by using elementary column oper...

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  9. Find the inverse of following matrices by using elementary column oper...

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  10. Find the inverse of following matrices by using elementary column oper...

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  11. Find the inverse of following matrices by using elementary column oper...

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  12. Find the inverse of following matrices by using elementary column oper...

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  13. Find the inverse of matrix: A =[(1,2),(-3,-1)]

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  14. Find the inverse of matrix: [(0,2),(3,1)]

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  15. Using elementary row transfromations find the inverse of matrix: [(1...

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  16. Find the inverse of matrices using elementary column transformations: ...

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  17. Find the inverse of matrices using elementary column transformations: ...

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  18. Find the inverse of matrices using elementary column transformations: ...

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  19. If A =[(5,-8),(-5,8)], show by elementary row transformations that A^...

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  20. If B = [(-2,2,1),(0,4,5),(-2,6,6)], show by elementary row operations ...

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