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Show that (i) [(5,-1),(6,7)][(2,1),(3,...

Show that
(i) `[(5,-1),(6,7)][(2,1),(3,4)]!=[(2,1),(3,4)][(5,-1),(6,7)]`
(ii) `[(1,2,3),(0,1,0),(1,1,1)][(-1,1,0),(0,-1,1),(2,3,4)]!=[(-1,1,0),(0,-1,1),(2,3,4)][(1,2,3),(0,1,0),(1,1,0)]`.

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show that (i) [{:(5,-1),(6,7):}][{:(2,3),(3,4):}]ne[{:(2,3),(3,4):}][{:(5,-1),(6,7):}] (ii) [{:(1,2,3),(0,1,0),(1,1,0):}][{:(-1,1,0),(0,-1,1),(2,3,4):}] ne[{:(-1,1,0),(0,-1,1),(2,3,4):}][{:(1,2,3),(0,1,0),(1,1,0):}]

If P=[(0,1,0),(0,2,1),(2,3,0)],Q=[(1,2),(3,0),(4,1)] , find PQ.

Show that(i) [[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1],[ 6, 7]] (ii) [[1, 2, 3],[ 0, 1, 0],[ 1, 1, 0]][[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]]!=[[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]][[1 ,2 ,3],[ 0, 1, 0],[ 1, 1, 0]]

If A=[(1,2,3),(-1,0,2),(1,-8,-1)],B=[(4,5,6),(-1,0,1),(2,1,2)],C=[(-1,-2,1),(-1,2,3),(-1,-2,2)] , find (i) 2B-3C (ii) A-2B+3C .

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):}]

Find AB and BA if exists from the following matrices A and B: (i) A=[{:(2,3,-1),(0,1,2):}]and B=[{:(2,-6),(-4,0):}] (ii) A=[{:(1,2,3),(0,1,-2),(-1,0,-1):}]and B=[{:(0,0,2),(2,0,0),(0,2,0):}] (iii) A=[{:(0,3,4),(2,1,-2),(1,-3,-1):}]and B=[{:(2,1,3),(-1,0,-2):}]

If A={:[(3,2,7),(1,1,4),(-1,-1,0)]:},B={:[(1,0,3),(2,1,0),(0,-1,-3)]:}andC{:[(1,0,0),(0,1,0),(0,0,1)]:} , then find 2A+3B-7C.

MODERN PUBLICATION-MATRICES-NCERT - FILE (Question from NCERT Book) (Exercise 3.2)
  1. A=[{:(2,4),(3,2):}],B=[{:(1,3),(-2,5):}],C=[{:(-2,5),(3,4):}] find ...

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  2. compute the following : (i) [{:(a,b),(-b,a):}]+[{:(a,b),(b,a):}] (...

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  3. Compute the indicated products (i) [(a,b),(-b,a)][(a,-b),(b,a)] (...

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  4. if A=[{:(1,2,-3),(5,0,2),(1,-1,1):}],B=[{:(3,-1,2),(4,2,5),(2,0,3):}]a...

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  5. A=[[2/3,1,5/3],[1/3,2/3,4/3],[7/3,2,2/3]] and B=[[2/5,3/5,1],[1/5,2/5,...

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  6. costheta[{:(costheta,-sin theta),(sintheta,costheta):}]+sintheta[{:(si...

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  7. Find X and Y, if(i) X+Y=[7 0 2 5]and X-Y=[3 0 0 3](ii) 2X+3Y=[2 3 4 0]...

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  8. Find X if Y=[3 2 1 4] and 2X+Y=[1 0-3 2] .

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  9. Find X and Y,if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2):}]=[{:(5,6),(1,8...

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  10. Find x ,\ y ,\ z ,\ t if 2[x z y t]+3[1-1 0 2]=3[3 5 4 6] .

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  11. If x[2 3]+y[-1 1]=[10 5] , find the values of x and y.

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  12. Given 3[x y z w]-[x6-1 2w]+[4x+y z+w3] , find the values of x, y, z an...

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  13. If F(x)=[{:(cosx,-sinx,0),(six,cosx,0),(0,0,1):}], show that F(x).F(y)...

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  14. Show that (i) [(5,-1),(6,7)][(2,1),(3,4)]!=[(2,1),(3,4)][(5,-1),(6,7...

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  15. Find A^2-5A+6I , if A=[2 0 1 2 1 3 1-1 0]

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  16. If A=[1 0 2 0 2 1 2 0 3] , prove that A^3-6A^2+7A+2I=0

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  17. If A=[(3,-2),(4,-2)] and I=[(1,0),(0,1)], find k so that A^(2)=kA-2I.

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  18. Let A=[0-tan(alpha//2)tan(alpha//2)0] and I be the identity matrix ...

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  19. A trust fund has Rs 30,000 that must be invested in two different t...

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  20. The bookshop of a particular school has 10 dozen chemistry books, 8...

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