Let A and B be n xn matrices. Determine whether the statement below is true or false. Justify the answer. det(A + B) = det A + det B Choose the correct answer below. O A. The statement is true. Determinants are linear transformations. 1 0 - 1 O B. The statement is false. If A = and B = then det(A + B) = 0 and det A + det B = 2. 0 1 - 1 2 0 3 0 O c. The statement is true. If A = 1 0 and B = then det(A + B) = 0 and det A + det B = 0. 5 0 O D. The statement is false. det(A + B) = (det A)(det B)

Q: Use row operations to change the matrix to reduced form. 1 1 1 17 2 3 8 27

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Q: Determine whether the matrices are inverses. -2 4 24 1/41/4 1/2 1/2

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Q: Use the matrix below. B =    3 0 0 3   −4 −4 1 9 4 −5 −11 8 Write the negative of matrix B.

A: Given that: B=3003-4-4194-5-118

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Q: Find the inverse of the given matrix.   A= -4 -3 1 -4

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Q: Given A and B = 6 2 -2 -1 find AB.

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Q: Show that the matrix has no inverse.

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Q: Perform the matrix operation. Let C = O A. O C. 1 -3 and D= 2 - 3 9 -6 40 5 -6 4 1 3. Find C-4D. -2…

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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.