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Find A B, if A=[[6, 9],[ 2 , 3]] and B...

Find `A B`, if `A=[[6, 9],[ 2 , 3]]` and `B=[[2, 6 ,0 ],[ 7,9,8]]`

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Let A=[[3 , 7],[ 2, 5]] and B=[[6 , 8],[ 7, 9]] Verify that (A B)^(-1)=B^(-1) A^(-1)

A=[[0 , 6 , 7 ],[ -6, 0 , 8 ],[ 7, -8, 0]] , B=[[0, 1 ,1],[ 1 , 0 ,2],[ 1 ,2 ,0]] , C=[[2 ],[ -2],[ 3]] Calculate AC , B C and (A+B) C . Also, verify that (A+B) C=A C+B C

Consider the matrices A=[[1,-2],[-1,3]] and B=[[a,b],[c,d]] If AB=[[2,9],[5,6]] , find the values of a,b,c,d

Given that A+B=[[2,5],[7,8]] and A-B=[[6,8],[4,3]] Find 2A .

Find the matrix X so that X[[1 , 2, 3],[ 4, 5, 6]]=[[-7, -8, -9],[ 2, 4, 6]]

Let A = [[3,7],[2,5]] and B= [[6,8],[7,9]] Verify that (AB)^(-1)=B^(-1)A^(-1)

Given that A+B=[[2,5],[7,8]] and A-B=[[6,8],[4,3]] Find A^2-B^2 .

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V PUBLICATION-MATRICES-QUESTION BANK
  1. Find X and Y, if X+Y=[[5 , 2],[ 0, 9]] and X-Y=[[3, 6],[ 0 , -1]]

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  2. Find the values of x and y from the following equation: 2[[x , 5], [7 ...

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  3. Find A B, if A=[[6, 9],[ 2 , 3]] and B=[[2, 6 ,0 ],[ 7,9,8]]

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

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  5. Find A B, if A=[[0, -1],[ 0 , 2]]and B=[[3 , 5],[ 0, 0]]

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  6. A=[[0 , 6 , 7 ],[ -6, 0 , 8 ],[ 7, -8, 0]], B=[[0, 1 ,1],[ 1 , 0...

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  7. If A=[[1 , 2 , 3],[ 3, -2 , 1],[ 4, 2 , 1]], then show that A^3-23...

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  8. Let A=[[2 , 4 ],[ 3, 2]], B=[[1, 3] ,[ -2 , 5]], C=[[-2 , 5 ],[ 3, ...

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  9. Compute the following: i)[[a, b],[ -b, a]]+[[a, b],[ b , a]]. i...

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

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

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

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

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

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  16. Find x and y if 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1,8]]

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

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

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

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

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