Let A and B be two square matrices. Which of the following statement or statements are always correct? I. det (ATB") = det(BA) %3D II. det (B + A) = det (AB) %3D III. det (AT +B") = det ((A+ B)") (a) Only I (b) Only II (c) Only III (d) Only I and III (e) Only II and III

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Q: Two square matrices that have the same determinant must have the same size. O True O False

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Q: What is the determinant of -2 ? -4

A: Given,         A= 1-23-4

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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.