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

If `A=[[2/3, 1, 5/3],[ 1/3, 2/3, 4/3] ,[7/3, 2, 2/3]]`and `B=[[2/3, 3/5, 1],[ 1/5, 2/5, 4/5],[ 7/3, 6/5, 2/5]]`, then compute `3A - 5B`.

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The correct Answer is:
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`3A-5B=3[{:((2)/(3),1,(5)/(3)),((1)/(3),(2)/(3),(4)/(3)),((7)/(3),2,(2)/(3)):}]-5[{:((2)/(5),(3)/(5),1),((1)/(5),(2)/(5),(4)/(5)),((7)/(5),(6)/(5),(2)/(5)):}],`
`=[{:(2,3,5),(1,2,4),(7,6,2):}]-[{:(2,3,5),(1,2,4),(7,6,2):}]=[{:(0,0,0),(0,0,0),(0,0,0):}]`
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NAGEEN PRAKASHAN ENGLISH-MATRICES-Exercise 3.2
  1. compute the indicated products . (i) [{:(a,b),(-b,a):}][{:(a,-b),(b,...

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

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  4. Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+si...

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

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

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  8. Solve the equation for x, y, z and t, if 2[x, z , y, t]+3[1, -1 , 0 ,...

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  9. ifx[{:(2),(3):}]+y[{:(-1),(1):}]=[{:(10),(5):}],find the values of x ...

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  10. 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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  11. If f(x) = [(cos x , - sinx,0),(sinx,cosx,0),(0,0,1)] then show f(x) . ...

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  12. 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...

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  13. If f(x)=x^2-5x+6. Find f(A),if A=[(2,0,1),(2,1,3),(1,-1,0)].

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  14. if A =[{:(1,0,2),(0,2,1),(2,0,3):}] , prove that A^3-6A^2+7A+2I=0

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

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

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  17. A trust fund has Rs. 30000 that must be invested in two different t...

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

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  19. the restriction on n, k and p so that PY +Wywill be defined are :

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  20. Assume X,Z are the matrices of order 2 xx n,2 xx p respectively. If n...

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