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Rectify the mistake : Matrix multiplicat...

Rectify the mistake : Matrix multiplication is commutative and associative,

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USHA PUBLICATION-MATRICES DETERMINANTS PROBABILITY -EXERCISE
  1. Answer the following: What is the value of x if [[4,1],[2,1]]^2=[[...

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  2. Find x,y if[[3,2],[7,x]][[5,-2],[-7,y]]=[[1,0],[0,1]].

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  3. Rectify the mistake : Matrix multiplication is commutative and associa...

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  4. If A=[x y z], B=[[x],[y],[z]], find AB and its order.

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  5. If matrix A is of order 3xx4 and matrix B is of order 4xx3, what is th...

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  6. If Ais a square matrix and absA=10, then find abs(A^-1).

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  7. If A=[[1,2],[3,-5]], find abs(adjA)absA.

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  8. If A is a square matrix given by [[1,2],[3,4]], find adj (adj A).

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  9. What is the value of abs([sin^2theta,cos^2theta,1],[cos^2theta,sin^2th...

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  10. If A is a 2xx2 non-singular matrix and absA=1/2 then which matrix is r...

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  11. What is the order of the matrix B if[" 3"" 4"" 2 ""] B =[ 2 "" 1"" 0""...

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  12. State'True'or'false':For any square matrix A, AA' is symmetric.

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  13. State ‘True’ or ‘False’. For any square matrix A, A+A' is symmetric.

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  14. State ‘True’ or ‘False’. For any square matrix A, A-A' is skew symmetr...

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  15. If A is a 4xx5 matrix and B is a matrix such that A^TB and BA^T both a...

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  16. If A and B are two square matrices of same order, then (A+B)^2=A^2+2AB...

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  17. 1.Solve for x: abs ((1,1,x),(p+1,p+1,p+x),(3,x+1,x+2))=0

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  18. Solve [[x+a,b,c],[a,x+b,c],[a,b,x+c]]=0

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  19. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

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  20. Without expanding,show that the following determinant vanishes. abs((2...

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