Question
Determine whether the given matrix is orthogonal.$$\left(\begin{array}{rrr}1 & -1 & 1 \\1 & -1 & -1 \\1 & 2 & 0\end{array}\right)$$
Step 1
Two vectors are orthogonal if their dot product is zero. The dot product of two vectors a = [a1, a2, a3] and b = [b1, b2, b3] is given by a1*b1 + a2*b2 + a3*b3. The dot product of the first and second column is: 1*(-1) + 1*(-1) + 1*2 = -1 - 1 + 2 = 0 The dot Show more…
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Determine whether the following matrix is orthogonal. Please also provide the steps on how to get the answers.
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