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Compute the following: : [[a^2+b^2,b^2+c...

Compute the following: : `[[a^2+b^2,b^2+c^2],[a^2+c^2,a^2+b^2]] + [[2ab,2bc],[-2ac,-2ab]]`

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Evaluate the following: |(a,b),(-b,a)|

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  2. Evaluate the following: [(1+i, 0), (2,2-3i)] - [(i, -1),(3+i , 2 i)]

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  3. Compute the following: : [[a^2+b^2,b^2+c^2],[a^2+c^2,a^2+b^2]] + [[2ab...

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  4. If A = [(5,3),(4,2)], B = [(1,1),(-1,2)], C = [(-3,2),(-7,5)] find 2 A...

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  5. If A = [(3,8,0),(1,6,7),(0,2,-5)] and B = [(-1, 6 ,9),(3,0,4),(2,3,11)...

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  6. If A is any matrix and k any scalar, then prove that (-k) A = -(kA) = ...

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  7. If A and B are matrices of the same order, then prove that -(A + B) = ...

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  8. Find x and y if 2[(1,3),(0,x)] + [(y,0),(1,2)] = [(5,6),(1,8)]

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  9. Find x, y if 3[(4,2),(1,3)] - 2[(-2,1),(3,2)] + [(x , - 4),(3,y)] = 0

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  10. Find the vlaues of a,b,c and d if 3[(a,b),(c,d)] = [(a,6),(-1,2d)] + [...

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  11. Find non-zero values of 'x', satisfying the matrix equation: x{:[(2x...

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  12. If A = {:[(1,-3,2),(2,0,2)], B = [(2,-1,-1),(1,0,-1)], find the matrix...

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  13. If A = [(7,8),(1,9)] and B = [(7,12),(5,1)], find the matrix C such th...

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  14. Find the matrix 'X' and 'Y' if: 2X + 3Y = {:[(2,3),(4,0)] and 3X - 2Y ...

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  15. Find X and Y if X+Y=[(5,2),(0,9)] and X=Y=[(3,6),(0,-1)]

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  16. Find a matrix X such that 2A - B + X = O, where A = [(3,1),(0,2)], B =...

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  17. Find the matrix A so that [(1,2,-3),(0,4,1)] + A = [(3,5,6),(-1,0,3)].

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  18. Find matrices X and Y is 2X - Y = [(6,-6,0),(-4,2,1)] and X + 2Y =...

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  19. If A - B = [(1,1,1),(1,1,0),(1,0,0)] and A + B = [(3,5,7),(-1,1,4),(11...

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  20. If A = [(9, 1),(7,8)] and B = [(1,5),(7,12)], find the matrix C such t...

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