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Compute the indicated products: [a b-...

Compute the indicated products: `[a b-b a][a-bb a]` (ii) `[1-2 2 3][1 2 3-3 2-1]` (iii) `[2 3 4 3 4 5 4 5 6][1-3 5 0 2 4 3 0 5]`

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Compute the indicated products.(i) [[a, b],[-b ,a]][[a,-b],[b, a]] (ii) [[1],[ 2],[ 3]][[2, 3 ,4]] (iii) [[1,-2],[ 2 ,3]] [[1 ,2, 3],[ 2, 3 ,1]] (iv) [[2, 3 ,4 ],[3, 4 ,5],[ 4, 5, 6]][[1,-3, 5],[ 0, 2, 4],[ 3, 0, 5]] (v) [[2,1],[3,2],[-1,1]] [[1, 0, 1],[-1, 2 ,1]] (vi) [[3,-1, 3],[1,0,2]] [[2 ,-3],[ 1, 0],[ 3, 1]]

compute the indicated products . (i) [{:(a,b),(-b,a):}][{:(a,-b),(b,a):}](ii) [{:(1),(2),(3):}][2" "3 " "4 ] (iii) [{:(1,-2),(2,3):}][{:(1,2,3),(2,3,1):}] (iv)[{:(2,3,4),(3,4,5),(4,5,6):}][{:(1,-3,5),(0,2,4),(3,0,5):}] (V) [{:(2,1),(3,2),(-1,1):}][{:(1,0,1),(-1,2,1):}] (vi) [{:(3,-1,3),(-1,0,2):}][{:(2,-3),(1,0),(3,1):}]

Compute the products A B and B A whichever exists in each of the following cases: A=[[1,-2],[ 2, 3]] and B=[[1, 2,3],[ 2,3, 1]] (ii) A=[[3, 2],[-1, 0],[-1, 1]] and B=[[4, 5, 6],[ 0, 1 ,2]]

Find the cube of : (i) 2 2/5 (ii) 3 1/4 (iii) 0. 3 (iv) 1. 5

Compute the following: [[2,-1],[3,5]] +[[4,3],[1,-2]]

If A = [[-1, 2 ,3],[-1, 0, 2],[1, -3, 1]] and B = [[4,5,6],[-1, 0, 1], [2,1,2]], find 4A-3B

Find the matrix A such that : [(1 ,0 ),(0 ,1)]A=[(3 ,3 ,5 ),(1, 0 ,1)] (ii) A[(1, 2, 3 ),(4, 5 ,6)]=[(-7,-8,-9 ),(2, 4 ,6)]

Evaluate: (i) 2/(-3) + -4/9 , (ii) =1/2 + -3/4 , (iii) 7/-9 + -5/6 (iv) 2 + -3/4 , (v) 3 + -5/6 , (vi) -4 + 2/3

In which octant the following points lie : (i) (2, 1, 4) (ii) (-1,2,4) (iii) (1,-3, 2) (iv) (1, 5,-6) (v) (2, -1, -3) (vi) (-2, 3, -5) (vii) (-4, -1, 3) (viii) (-1, -2, 3)

Given the matrices A=[2 1 1 3-1 0 0 2 4] , B=[9 7-1 3 5 4 2 1 6] and C=[2-4 3 1-1 0 9 4 5] Verify that (A+B)+C=A+(B+C) .

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If A is a square matrix such that A^2=I , then find the simplified...

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  2. If A=[3\ \ \ 5] , B=[7\ \ \ 3] , then find a non-zero matrix C such...

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  3. Compute the indicated products: [a b-b a][a-bb a] (ii) [1-2 2 3][1 ...

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  4. Show that A B!=B A in the following case: A=[5-1 6 7] and B=[2 1 3 ...

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  5. Compute the products A B and B A whichever exists in each of the fol...

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  6. Compute the products A B and B A whichever exists in each of the fol...

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  7. Show that A B!=B A in each of the following cases: A=[[1, 3,-1],[2,-...

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  8. Evaluate the following: ([(1,3),( -1,-4))]+[(3 ,-2 ),(-1 ,1)])[(1 ,3,5...

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  9. If A=[[1, 0],[ 0, 1]] , B=[[1,0],[0,-1]] and C=[[0, 1],[ 1, 0]] , then...

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  10. If A=[[2,-1],[ 3, 2]] and B=[[0, 4],[-1, 7]] , find 3A^2-2B+I .

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  11. If A=[[4, 2],[-1, 1]] , prove that (A-2I)(A-3I)=O .

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  12. If A=[(1,1),(0,1)] , show that A^2=[(1, 2),( 0, 1)] and A^3=[(1 ,3 ),(...

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  13. If A=[(ab ,b^2) ,(-a^2 ,-ab)] , show that A^2=O .

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  14. If A=[cos2thetasin2theta-sin2thetacos2theta] , find A^2 .

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  15. If A=[(2 ,-3, -5), (-1, 4, 5),( 1, -3 ,-4)] and B=[(-1, 3, 5), (1,-3, ...

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  16. If A=[[0 ,c,-b],[-c, 0, a],[ b, -a, 0]] and B=[[a^2, ab, ac],[ ab, ...

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  17. If A=[(2, -3, -5) , (-1, 4, 5), (1, -3, -4)] and B=[(2, -2, -4) , (-1,...

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  18. Let A=[(-1 ,1,-1),(3,-3 ,3),( 5, 5, 5)] and B=[(0 ,4 ,3 ),(1,-3,-3),(-...

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  19. For the following matrices verify the associativity of matrix multip...

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  20. For the following matrices verify the distributivity of matrix multi...

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