Question
If $\left[\begin{array}{cc}2 x-6 & 2 p-x \\ 3 p+y & 3 y-6\end{array}\right]$ is a skew symmetric matrix, then $p$ is equal to(a) $-5$(b) $\frac{1}{5}$(c) 0(d) 5
Step 1
We know that for a skew symmetric matrix, the diagonal elements are zero and the off-diagonal elements are negatives of each other. Show more…
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If the matrix $\left[\begin{array}{lll}0 & a & 5 \\ 3 & 0 & b \\ c & 2 & 0\end{array}\right]$ is skew-symmetric, then find $a, b, c$.
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In the text we defined a matrix $A$ to be symmetric if $A^{T}=A$. Analogously, a matrix $A$ is said to be skew-symmetric if $A^{T}=-A$ . Find all values of $a, b, c,$ and $d$ for which $A$ is skew-symmetric. $$A=\left[\begin{array}{rcc}0 & 2 a-3 b+c & 3 a-5 b+5 c \\-2 & 0 & 5 a-8 b+6 c \\-3 & -5 & d\end{array}\right]$$
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