Let A be an nxn matrix. Determine whether the statement below is true or false. Justify the answer. If the columns of A are linearly dependent, then det A = 0. Choose the correct answer below. O A. The statement is false. The columns of I are linearly dependent, yet det I = 1. O B. The statement is false. If det A = 0, then A is invertible. OC. The statement is true. If the columns of A are linearly dependent, then one of the columns is equal to another. O D. The statement is true. If the columns of A are linearly dependent, then A is not invertible.

Q: Find the matrix of the quadratic form. Assume x is in R?. a. 3x - 8x,x2 + 2x3 b. 5x, + 18x,x2

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Q: Determine the adjacency matrix of the given digraph.

A: To determine the adjacency matrix of the given digraph.

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Q: Find x such that the matrix is singular. X 3 A = -7 2 X =

A: Singular Matrix - A matrix is said to be singular if and only if its determinant is equal to zero.

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Q: Determine if the columns of the matrix form a linearly independent set. Justify your answer. 0 -3 9…

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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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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.