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Find the value of x, if [(1,x,1)][{:(1,3...

Find the value of x, if `[(1,x,1)][{:(1,3,2),(2,5,1),(15,3,2):}][{:(1),(2),(x):}]=0`

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To find the value of \( x \) in the equation \[ \begin{bmatrix} 1 & x & 1 \end{bmatrix} \begin{bmatrix} 1 & 3 & 2 \\ 2 & 5 & 1 \\ 15 & 3 & 2 \end{bmatrix} \begin{bmatrix} 1 \\ 2 \\ x \end{bmatrix} = 0, \] we will follow these steps: ...
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NCERT EXEMPLAR-MATRICES-Matrices
  1. Find non-zero values of x satisfying the matrix equation. x[{:(2x,2)...

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  2. If A=[{:(0,1),(1,1):}] "and" B=[{:(0,-1),(1,0):}], then show that ...

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  3. Find the value of x, if [(1,x,1)][{:(1,3,2),(2,5,1),(15,3,2):}][{:(1),...

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  4. Show that A =[{:(5,3),(-1,-2):}] satisfies the equation A^(2)-3A-7I=0 ...

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  5. if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?

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  6. FindA, if [{:(4),(1),(3):}]A=[{:(-4,8,4),(-1,2,1),(-3,6,3):}]

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  7. A=[{:(2,1,2),(1,2,4):}] and B=[{:(4,1),(2,3),(1,2):}] Verify AB=BA or...

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  8. If A[{:(3,-4),(1,1),(2,0):}] and B=[{:(2,1,2),(1,2,4):}] , then verify...

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  9. Give an example of two non-zero 2xx2 matrices A and B such that A B...

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  10. Given A=[{:(2,4,0),(3,9,6):}] "and" B=[{:(1,4),(2,8),(1,3):}], is (AB)...

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  11. Solve for x and y , x[{:(2),(1):}]+y[{:(3),(5):}]+[{:(-8),(-11):}]=0.

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  12. If X and Y are 2xx2 matrices, then solve the following matrix equat...

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  13. If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=BC.

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  14. Give an example of three matrices A ,\ B ,\ C such that A B=A C but...

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  15. If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}] and C=[{:(1,0),(-1,0):}],...

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  16. If P=[{:(x,0,0),(0,y,0),(0,0,z):}] and Q=[{:(a,0,0),(0,b,0),(0,0 ,c):}...

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  17. If [2 1 3] [{:(-1,0,-1),(-1,1,0),(0,1,1):}][{:(1),(0),(-1):}]=A, then ...

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  18. If A=[{:(2, 1,),(4,2,)],B =[{:(2,3,4),(1,4,0):}] and C=[{:(-1,2,1),(1,...

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  19. If A=[{:(1,0,-1),(2,1,3),(0,1, 1):}] then verify that A^(2)+A=(A+I) , ...

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  20. If A=[{:(0,-1,2),(4,3,-4):}] and B=[{:(4,0),(1,3),(2,6):}] then verify...

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