In which of the scripts that follow matrix R is an orthonormal (or orthogonal) matrix. Remember, an orthogonal matrix is one whose transpose is its inverse. This means that if we multiply a matrix by its inverse the result is the identity matrix. Select one: a. A=rand(3,3); R = A + inv(A) b. A=rand(3,3); S=A-A' R = (eye(3)-S)*(eye(3)+S); c. A=rand(3,3); R = A + inv(A') d. A=rand(3,3); R = A - inv(A) e. A=rand(3,3); S=A-A' R = inv(eye(3)-S)*(eye(3)+S);

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A: This problem is related to the vector algebra. The problem is solved in the following image.

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A: Properties of determinant:kA=knAAB=ABA-1=1A

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.