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Determine the values of x for which the ...

Determine the values of `x` for which the matrix `A=[x+1-3 4-5x+2 2 4 1x-6]` is singular.

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To determine the values of \( x \) for which the matrix \[ A = \begin{bmatrix} x + 1 & -3 \\ 4 & -5x + 2 \\ 2 & 4 \\ 1 & x - 6 \end{bmatrix} \] is singular, we need to find when the determinant of the matrix \( A \) equals zero. ...
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Knowledge Check

  • The number of values of x for which the matrix A=[(3-x,2,2),(2,4-x,1),(-2,-4,-1-x)] is singular, is

    A
    0
    B
    1
    C
    2
    D
    3
  • The number of values of x for which the matrix A = [(3-x,2,2),(2,4-x,1),(-2,-4,-1-x)] is singular, is

    A
    0
    B
    1
    C
    2
    D
    3
  • The value of x so that the matrix [[2(x+1), 2x],[x, x-2]] is singular, is :

    A
    `-2`
    B
    `-1`
    C
    1
    D
    2
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