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Compute the indicated products. i) [[a ...

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]]`

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V PUBLICATION-MATRICES-QUESTION BANK
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  2. Compute the following: i)[[a, b],[ -b, a]]+[[a, b],[ b , a]]. i...

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

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  4. If A =[[1, 2, -3],[ 5, 0, 2],[ 1, -1, 1]], B=[[3, -1, 2],[ ...

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

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  6. Simplify costheta[[costheta, sin theta],[-sintheta, costheta]]+sinthet...

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

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  8. Find X, if Y=[[3 ,2],[ 1 , 4]] and 2 X+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. Solve the equation for x, y, z and t, if 2[[x, z],[ y, t]]+3[[1, -...

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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]]=[[x,6],[-1,2w]]+[[4, x+y],[z+w, 3]] find the va...

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  13. F(x) =[[cos x, -sin x, 0],[ sin x, cos x, 0],[ 0, 0, 1]] Show ...

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

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  15. Find A^2-5 A+6 I, 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^3-6 A^2+7...

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

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

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