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Math Help - quick matrix question about zero determinants

  1. #1
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    quick matrix question about zero determinants

    Ok so I know that the following matrix has a determinant of zero, which means it has no inverse matrix because I found out that it has a row of zeros... But, just by looking at it, how can I tell its determinant is zero?

    \begin{bmatrix} 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 \\ 1 & 0 & 0 & 2\\ 0 & 0 & 2 & 0 \end{bmatrix}

    Thank you
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    Hello,
    Quote Originally Posted by tsal15 View Post
    Ok so I know that the following matrix has a determinant of zero, which means it has no inverse matrix because I found out that it has a row of zeros... But, just by looking at it, how can I tell its determinant is zero?

    \begin{bmatrix} 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 \\ 1 & 0 & 0 & 2\\ 0 & 0 & 2 & 0 \end{bmatrix}

    Thank you
    The 4th row is twice the 1st row
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  3. #3
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    Quote Originally Posted by Moo View Post
    Hello,

    The 4th row is twice the 1st row
    Thank you, Moo (the cutest angle in the world ) ha ha
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