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Find A^2-5A+6I, if A=[[2, 0, 1],[ 2, 1, ...

Find `A^2-5A+6I`, if `A=[[2, 0, 1],[ 2, 1, 3],[ 1,-1, 0]]`

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To find \( A^2 - 5A + 6I \) for the matrix \[ A = \begin{bmatrix} 2 & 0 & 1 \\ 2 & 1 & 3 \\ 1 & -1 & 0 \end{bmatrix} \] we will follow these steps: ...
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NCERT ENGLISH-MATRICES-All Questions
  1. Express the following matrices as the sum of a symmetric and a skew s...

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  2. Choose the correct answer If A, B are symmetric matrices of same orde...

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  3. Find A^2-5A+6I, if A=[[2, 0, 1],[ 2, 1, 3],[ 1,-1, 0]]

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  4. Show that(i) [[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1]...

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  5. If A A=[[3,-2],[ 4,-2]]and I=[[1, 0],[ 0, 1]], find k so that A^2=k A-...

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  6. If A=[[1, 0 ,2 ],[0 ,2 ,1],[2, 0 ,3]], prove that A^3-6A^2+7A+2I=0

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

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

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  9. If F(x)=[[cosx,-sinx,0],[sinx,cosx,0],[ 0, 0, 1]], show that F(x) F(y)...

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

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  11. A trust fund has Rs 30,000 that must be invested in two different typ...

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  12. If A=[ [0,-tan((alpha)/2)],[tan(alpha/2),0]] then (I-A)[[cosalpha,-...

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  13. Using elementary transformations, find the inverse of the matrix[[2,-...

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  14. Using elementary transformations, find the inverse of the matrix[[6,-...

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  15. Using elementary transformations, find the inverse of each of the mat...

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  16. Using elementary transformations, find the inverse of the matrix[[3,-...

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  17. Using elementary transformations, find the inverse of the matrix[[2, ...

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  18. Using elementary transformations, find the inverse of the matrix[[1, ...

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  19. Using elementary transformations, find the inverse of the matrix[[2,-...

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  20. Using elementary transformations, find the inverse of the matrix[[2 ,...

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