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Find the values of x, y, z if the matri...

Find the values of x, y, z if the matrix `A=[[0, 2y, z],[ x, y,-z],[ x,-y, z]]`satisfy the equation `A^(prime)A=I`.

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To find the values of \( x, y, z \) such that the matrix \[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \] satisfies the equation \( A^T A = I \), we will follow these steps: ...
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NCERT ENGLISH-MATRICES-All Questions
  1. If A and B are symmetric matrices, prove that AB – BA is a skew symme...

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  2. For what values of x : [[1, 2, 1]][[1 ,2 ,0],[ 2, 0, 1],[ 1, 0, 2]][[0...

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  3. Find the values of x, y, z if the matrix A=[[0, 2y, z],[ x, y,-z],[ x...

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  4. Let A=[[0, 1],[ 0, 0]]show that (a I+b A)^n=a^n I+n a^(n-1)b A, where...

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  5. If A=[[3,-4],[1,-1]], then prove that A^n=[[1+2n,-4n],[n,1-2n]], where...

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

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

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  8. Assume X, Y, Z, W and P are matrices of order 2 xxn, 3 xxk, 2 xxp, n ...

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  9. Assume X,Y,Z ,W,P are the matrices of order 2 xx n, 3 xx k,2 xx p, n x...

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  10. If A=[[1,-2, 3,],[ 4, 2, 5,]]and B=[[2, 4], [2,3],[ 5, 1]], then find ...

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

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  12. Two farmers Ramkishan and Gurcharan Singh cultivates only three var...

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

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  14. If A=[[0, 6, 7], [-6, 0, 8], [ 7,-8, 0]], B=[[0, 1, 1],[ 1, 0, 2],[ 1,...

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  15. If A=[[1, 1,-1],[ 2, 0, 3],[ 3,-1, 2]], B=[[1, 3],[0,2],[-1, 4]]and C=...

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

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  17. If A=[[1, 0],[ 0,-1]]and B=[[0 ,1], [1, 0]], then find AB,BA. Show tha...

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  18. In a legislative assembly election, a political group hired a public...

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  19. If A=[{:(,1,2,3),(,3,2,1),(,4,2,1):}] then show that A^(3)-23A=40 I=0

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  20. If the matrix A is both symmetric and skew symmetric, then (A) A is a...

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