In this question A is an n x n matrix. (a) State, and describe fully, a formula that allows the determinant of A to be calculated. (b) By treating the matrix A as an active transformation matrix, or otherwise, explain why the determinant of a matrix vanishes when the vectors formed by its columns are linearly dependent.

Q: 20. Evaluate the determinant of the matrix. 1 2 1 -3 -1 1 B iU Font Family - AA A * 三,= 三グ

A: Find the determinant of the matrix as shown below.

Q: Use a software program or a graphing utility to find the determinant of the matrix.

A: As a first step convert the matrix in fraction form.

Q: Compute the determinant of A by by transforming the matrix into a triangular matrix. A = 3. -1 -3 4…

A:

Q: 1. Use row operations to reduce the given matrix A to upper-triangular form 2. find the determinant…

A: The general upper triangular matrix of order 3×3 matrix is abc0de00f .

Q: What is the determinant of a matrix that has been row reduced? For example, calculate the…

A: Let the given matrix is                      A=a11a12a13⋯a1n0a22a23⋯a2n00a33⋯a3n⋮⋮⋮⋱⋮000⋯ann The…

Q: 4. Evaluate the determinant of the matrix. 1.-4

A: The given matrix,              2-31-4

Q: Find the determinant of the matrix, if it exists.

A: Find out the determinant of the matrix. determinant for 2×2 matrix A=abcd  A=ad-bc So given matrix…

Q: Find the determinant of the given matrix: For part (a): 3 -2 [A] = 0 -3 4 4 -

A:

Q: Use a software program or a graphing utility to find the determinant of the matrix.

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Q: -1 2 4 1 2 4 3 14 2 N N M 4 2.

A: Given that, 1-1243124-11322142

Q: Evaluate the determinant of the given matrix by any legitimate method.

A: Given, A=234560700

Q: 1. Choose three different non-zero integer values for the empty boxes and find the determinant of…

A: The given matrix with non-zero entries,A=20103620-153401-40

Q: Use the method demonstrated in Example 5 to find the determinant of the matrix. 6 -8 0 -7 4 1 5 3.

A:

Q: If the determinant of a 5 x 5 matrix A is det(A) = –10, and the matrix C is obtained from A by…

A:

Q: Use a software program or a graphing utility to find the determinant of the matrix.

A: Using a graphing calculator

Q: Evaluate the determinant of the given matrix by any legitimate method.

A: Given that, 1-23-12-512-1419-922-2031-49-1415

Q: Find the determinant of the matrix, if it exists.

A: The given matrix is 321-1-23. Compute the determinant as follows.

Q: Compute the determinant of the matrix -1 2) 0 0 3 1 -1 -1 1 and find its inverse if it is…

A:

Q: Use the method demonstrated in Example 5 to find the determinant of the matrix. 3 9 -6 0 -7 4 9 1 8.

A: Topic  = Matrix

Q: Evaluate the determinant of the following matrix: 1 7 -5 6 0 -4 3 1

A: 2  1  7-5  6  0-4  3  1

Q: compute the determinant of matrix     A= (-3  -2   1   -4           1     3    0     -3…

A: Consider the given matrix A=-3-21-4130-3-34-283-404

Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

A: Solution:-

Q: If A is a 5x5 invertible matrix, then the determinant of 2A is k|A| where k is equal to A 16 B 0 2…

A:

Q: Consider a 4 x 4 matrix A with rows vi, v2, v3, and v4. If det(A) = 5, find the determinant of the…

A:

Q: Find the determinant of the matrix by reducing A to a triangular matrix. A = -1 2 3 1 1 2 1

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Q: Evaluate the determinant of the given matrix by reducing the matrix to row-echelon form. [4 1 4 1 10…

A:

Q: Consider a 2x2-dimensional matrix A for which A² = -A. a) What are all possible values of the…

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Q: Evaluate the determinant of the given matrix. det(A) = A² + 3x + 12 A²+ 3A - 10 x² + 3x + 2 A²+ 3A -…

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Q: A= 1. 3 4 -1 -1 4 2 0 1 -1 2 -1 3 2

A:

Q: APPLY THE GAUSS ELIMINATION METHOD TO FIND THE DETERMINANT OF THE MATRIX.

A: Consider the given matrix. A=09-30-4-50755-20-103-700-1004-80-710 Now, use the gauss elimination…

Q: Evaluate the determinant of the given matrix by any legitimate method.

A: To find the determinant of the given matrix,  A=01112-56-43

Q: The determinant of a square matrix A is O if and only if one column of A is a multiple of another…

A:

Q: = [5    0     4 -8    4     0 6      -4    4] Minimize the required number of computations by…

A:

Q: Evaluate the determinant of the given matrix by any legitimate method.

A: Given matrix is: 1-23-12-53-12 To evaluate the determinant of the given matrix. Solution: Evaluating…

Q: Compute the determinant of the matrix -1 2) 1 0 0 -1 -1 1 and find its inverse if it is invertible.

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Q: Find the determinant of the triangular matrix. 5 6 -3 0 0 0 0 0 0 0 7 7 5 0 -1

A:

Q: Evaluate the determinant of the given matrix by any legitimate method.

A: Given matrix, 10-23-311204-112301

Q: 1. Calculate the determinant of the matrix. -3 21 -6-12 0 21

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Q: Use a software program or a graphing utility with matrix capabilities to find the determinant of the…

A: topic - determinant of a matrix

Q: Use a software program or a graphing utility with matrix capabilities to find the determinant of the…

A:

Q: ): Consider the 3 x 3 matrix -- -1 A = 3 -X where x is an unknown scalar. -1 Find the unknow x if it…

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Q: a.) Can we use cofactor expansion in a 2 x 2 matrix? b.) What is the determinant of a 1x 1 matrix?

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Q: If the determinant of a 3×3 matrix A is det(A)=2, and the matrix B is obtained from A by multiplying…

A: the determinant of a 3×3 matrix A is det(A)=2, and the matrix B is obtained from A by multiplying…

Q: If the determinant of a 4 x 4 matrix A is det(A) = 3, and the matrix D is obtained from A by adding…

A: The objective is to find det(D).

Q: Use the method demonstrated in Example 5 to find the determinant of the matrix. 3 8 -7 0 -9 4 8 1 5

A: