every orthogonal matrix is....
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Answer:
A square matrix with real numbers or elements is said to be an orthogonal matrix, if its transpose is equal to its inverse matrix or we can say, when the product of a square matrix and its transpose gives an identity matrix, then the square matrix is known as an orthogonal matrix
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Step-by-step explanation:
Every orthogonal matrix is...
=> Every orthogonal matrix is invertible.
An orthogonal matrix is a square matrix whose columns and rows are orthogonal unit vectors.
As a linear transformation, every special orthogonal matrix acts as a rotation. An orthogonal matrix is the real specialization of a unitary matrix, and thus always a normal matrix. Although we consider only real matrices here, the definition can be used for matrices with entries from any field.