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[(2,3),(3,4)] is a a)Symmetric matrix b)...

`[(2,3),(3,4)]` is a a)Symmetric matrix b)Skew-symmetric matrix c)null matrix d)identity matrix

A

Symmetric matrix

B

Skew-symmetric matrix

C

null matrix

D

identify matrix

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BODY BOOKS PUBLICATION-MATRICES-EXERCISE
  1. If [1" "x" "1] [(1,2,3),(0,5,1),(0,3,2)][(x),(1),(-2)]=0 then find the...

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  2. If A=[a(ij)](2xx2) where a(ij)=i+j, then A is equal to a)[(1,1),(2,2)]...

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  3. [(2,3),(3,4)] is a a)Symmetric matrix b)Skew-symmetric matrix c)null m...

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  4. If A=[(3,-2),(2,5)] and B=[(7,8),(-6,3)] then A+B is equal to-

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  5. If A=[(10,6),(-4,8)] and I2=[(1,0),(0,1)] then AI2 is equal to a)[(10...

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  6. If A is square matrix, A', is its transpose, then 1/2(A-A') is a)a S...

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  7. Let A and B be two symmetric matrices of same order. Then show that AB...

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  8. A=[[1,2,2],[2,1,2],[2,2,1]] , then Find 4A and A^2

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  9. A=[[1,2,2],[2,1,2],[2,2,1]] , then show that A^2-4A=5I3

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  10. If A=[(cos^2alpha,cosalphasinalpha),(cosalphasinalpha,sin^2alpha)] and...

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  11. Let A=[(0,a),(b,0)] Find A^2

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  12. Let A=[(0,a),(b,0)] If A^4=I2 then show that ab=1.

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  13. Of the matrices A=[(2,1,3),(4,1,0)] and B=[(1,-1),(0,2),(5,0)] Find AB...

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  14. Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Show that (AB)^T=...

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  15. If a matrix has 5 elements, write all possible order it can have.

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  16. Consider the matrix A=[(3,10),(2,7)] Express the matrix as A=IA.

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  17. Consider the matrix A=[(3,10),(2,7)] Find A^-1 using elementary row tr...

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  18. If A=[[1 , 1, 1],[ 1, 1, 1],[ 1, 1 , 1]], prove that A^n=[[3^(n-...

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  19. If A=[(costheta,sintheta),(-sintheta,costheta)] Find A^2

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  20. If A=[[cos theta, sin theta],[ -sin theta, cos theta]], then prove ...

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