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Construct an mxxn matrix A = [a(ij)], wh...

Construct an `mxxn` matrix A = [`a_(ij)`], where `a_(ij)` is given by
`a_(ij)=((i-2j)^(2))/(2)` with m = 2, n = 3

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The correct Answer is:
`=1/2[(1,9,25),(0,4,16)]`
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PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-SOLUTION TO EXERCISE 7.1
  1. Construct an mxxn matrix A = [a(ij)], where a(ij) is given by a(ij)=...

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  2. Construct an mxxn matrix A = [a(ij)], where a(ij) is given by a(ij)...

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  3. Find the values of p,q,r, and s if [(p^(2)-1,0,-31-q^(3)),(7,r+1,9),...

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  4. Determine the value of x+y if [(2x+y,4x),(5x-7,4x)]=[(7,7y-13),(y,x+6)...

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  5. Determine the matrices A and B if they satisfy 2 A -B+[(6,-6,0),(-4,...

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  6. If A = [(1,a),(0,1)], then compute A^(4).

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  7. Consider the matrix A(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)...

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  8. Consider the matrix A(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)...

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  9. If A = [(4,2),(-1,x)] and such that (A-2I) (A-3I) = 0, find the value ...

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  10. If A = [(1,0,0),(0,1,0),(a,b,-1)], show that A^(2) is a unit matrix.

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  11. If A = [(1,0,2),(0,2,1),(2,0,3)] "and" " "A^(3)-6A^(2)+7A+kI=0,find th...

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  12. Given your own examples of matrices satisfying the conditions in each ...

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  13. Given your own examples of matrices satisfying the conditions in each ...

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  14. Given your own examples of matrices satisfying the conditions in each ...

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  15. Show that f (x) f (y) = f(x+y) , where f(x)=[(cosx,-sinx,0),(sinx,co...

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  16. If A is a square matrix such that A^(2) = A, find the value of 7A-(I+A...

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  17. Verify the property A(B+C) = AB+AC, when the matrices A,B, and C are g...

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  18. Find the matrix A which satisfies the matrix relation A [(1,2,3),(4,5,...

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  19. If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)], verify the ...

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  20. If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)], verify the ...

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