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If A=[(1,-1),(2,-1)],B=[(a,1),(b,-1)]. I...

If `A=[(1,-1),(2,-1)]`,`B=[(a,1),(b,-1)]`. If `(A+B)^2=A^2+B^2`, Prove that BA+AB=0.

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BODY BOOKS PUBLICATION-MATRICES-EXERCISE
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  3. If A=[(1,-1),(2,-1)],B=[(a,1),(b,-1)]. If (A+B)^2=A^2+B^2, Prove that ...

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  4. If A=[(1,-1),(2,-1)],B=[(a,1),(b,-1)] and (A+B)^2=A^2 +B^2 .Find a and...

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  5. If A=[(-1),(2),(3)] and B=[-2 -1 -4] Find out the product AB.

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  6. If A=[(-1),(2),(3)] and B=[-2 -1 -4] Find A^T and B^T.

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  7. If A=[(-1),(2),(3)] and B=[-2 -1 -4] Verify that (AB)^T=B^T.A^T

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  8. Consider the matrices A=[1, x ,1],B=[(1,3,2),(2,5,1),(15,3,2)],C=[(1),...

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  9. Consider A=[[1,x,1]],B=[[1,3,2,],[2,5,1,],[15,3,2,]],C=[(1),(2),(x)...

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  10. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

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  11. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

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  12. Let A is a third order square matrix given by a(ij)={(-i+2j, i=j),(ixx...

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  13. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

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  14. Find the inverse of matrices [(1,-1),(2,3)]

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  15. if A=[[3, -4],[ 1, (-1)]], then prove that A^n=[[1+2 n, -4 n ],[n...

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  16. For what values of x:[[1, 2, 1]] [[1, 2, 0],[ 2, 0, 1],[ 1, 0...

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  17. Using elementary row transformations, find the inverse of the matrix [...

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  18. Let A=[(0,-tanx//2),(tanx//2,0)] Find out I+A and I-A.

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  19. If A=[[0, -tan (alpha/2)], [ tan (alpha/2), 0]] and I is the identi...

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  20. A is a third order square matrix and a(ij)={(-i,+,2j,if,i,=,j),(i,x...

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