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Show that , A = (1)/(sqrt2)[(1,1),(-1,1)...

Show that , A = `(1)/(sqrt2)[(1,1),(-1,1)]` is a proper orthogonal matrix. Hence find `A^(-1)`

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The correct Answer is:
B = `[(2,-1),(-7,4)]`
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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 A = [(-2,2,1),(0,4,5),(-2,6,6)] does A^(-1) exist?

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  2. If B [(1,-1,1),(2,-1,0),(1,0,0)],does B^(-1) exist?

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

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

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

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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 following matrices by using elementary column oper...

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

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

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

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

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

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