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Transpose of a Matrix

A square matr...

Question

A square matrix A is called an orthogonal matrix if

AA^T=A^TA=I

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AI =A

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A(A^T)^T = I

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A² = I

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Solution

The correct option is A
AA^T=A^TA=I

A square matrix A is called an orthogonal matrix when AA^T=A^TA=I

Suggest Corrections

Similar questions

A A^{T} = I = A^{T} A

| A |

M

A

A A^{T} = I = A^{T} A

| A | =

A A^{T}

A^{T} A

A

A A^{T} = A^{T} A = I

B = A^{- 1} A^{T}

B

A A^{T} = I = A^{T} A

A = ⎡ ⎢ ⎣ \begin{matrix} a_{1} & a_{2} & a_{3} b_{1} & b_{2} & b_{3} c_{1} & c_{2} & c_{3} \end{matrix} ⎤ ⎥ ⎦

\to a = a_{1}^i + a_{2}^j + a_{3}^k, \to b = b_{1}^i + b_{2}^j + b_{3}^k, \to c = c_{1}^i + c_{2}^j + c_{3}^k

| \to a | = | \to b | = | \to c | = 1

\to a . \to b = \to b . \to c = \to c . \to a = 0

\to a, \to b

\to c

a b c = P

Q = ⎡ ⎢ ⎣ \begin{matrix} a & b & c c & a & b b & c & a \end{matrix} ⎤ ⎥ ⎦

a + b + c

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