Show all work. If you are reasoning through steps and use a defn/theorem/property state which you are using. 1. a. Find the determinant by first reducing the matrix to echelon form: 1 3 -1 0 -2 0 2 -4 -2 -6 -2 -6 2 3 10 5 -6 2 -3 -4 9

Q: Find the determinant and, if possible, the inverse of the matrix.

A: A matrix is given

Q: For the matrix shown , find the * determinate of (A) 2 A= 3 3 3 det ( A) = 4 a det ( A) = - 7 141

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Q: Find the determinant of the matrix.

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Q: Find the determinant of the matrix.

A: First, we expand the determinant with respect to the first row

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: For Exercise, evaluate the determinant of the matrix. 7 12] B = 4 4. -1

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Q: If det(A) = 2, det(B") = 3 and det(C) = 1, then find the determinant of the matrix D, where D…

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Q: Consider the following matrix -1 -3 3 0. -2 (a) Find its determinant. (b) Does the matrix have an…

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Q: Find the determinant of the matrix A = [w v], where v and w are as shown below and the area of the…

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Q: Use the fact that |cA| = c|A| to evaluate the determinant of the n x n matrix. 24 12 36 A = 20 32 16…

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Q: For the matrix shown , find the determinate of (A) 1 3 A= 4 3 2 1 3

A: Topic : determinant of matrix

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

A: The matrix,

Q: Use the fact that ∣cA∣ = cn∣A∣ to evaluate the determinant of the n × n matrix.

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Q: Use expansion by cofactors to find the determinant of the matrix. -6 8 9 2 07 10 8 0 0 -4 -13 0 0 0…

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Q: Determine the determinant of the following matrix by reducing B to row-echelon form. 0 I 5 B = 3 -6…

A: Given- B=0153-69261 To Determine- The determinant of the above matrix by reducing B to row-echelon…

Q: For Exercise, evaluate the determinant of the matrix. 4 7 -2 3 -3 B = 5

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Q: If [B] = [A][A], What is the determinant of [B] given that [A] = %3D B| = 4 B = 16 B| = 9 B| = -4

A: The given matrix is A=2302. It is given that [B]=[A][A]. Evaluate the matrix B as follows.…

Q: The determinant of the matrix of B = [1 2 3 1 1 2 is: 2 0 0 B = -5 |B|= 4 |B|= 2 |B| = 8 |B|= 6

A: Given matrix B=123112200

Q: Given that "a" and "b" are some constants, what is the determinant of the following matrix? a b o |2…

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Q: Evaluate the ff. Given: A 1 -1 1 -1 2 3 2 0 y 1 1 -2 4 3 4 1 1 1 -1 find: a. Transpose of matrix A…

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Q: Find the determinant of the matrix

A: The determinant of a matrix is a scalar value that is a function of the entries of a square matrix.…

Q: Evaluate the determinant of the following matrix: 4 1 0 -9 3 4 -3 8 1

A: The given matrix is, 410-934-381 We need to find the determinant of the given matrix.

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 following matrix 1 (а) А —D | 3 -6 9 6 1 3 5 -2 6

A: a) Given that, A=0153-69261

Q: For Exercise, evaluate the determinant of the given matrix. 4 -9 0 E = - 3

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Q: Use row reduction to evaluate the determinant of the matrix, [2 3 -1 4] -1 1 5 1 2 [2 1 -3 3 3 B = 1…

A: Given matrix is, B=23-143-115121221-33.   Now, perform row operations to reduce the matrix in upper…

Q: 3 2 -1 4 2 15 7 05 2 -6 -1 2 1 0

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Q: Use the fact that |cA| = c"|A| to evaluate the determinant of the n x n matrix. 6 27 24 A = 21 3 9…

A: We are given the matrix A=627242139151812. We know that cA=cnA. Here,          A=627242139151812…

Q: Use the fact that |cA| = cA| to evaluate the determinant of the n x n matrix. -3 6. 9. A = 6. 12 9.…

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Q: Find the determinant of the matrix  B = [ 5   -1   3 ]        [ 5   -1   2 ]        [ 0   -3  -1 ]

A: We need to evaluate the determinant of the following matrix B = 5-135-120-3-1

Q: a1 bị C1 b2 c2 is given by az b2 The determinant of a 3 x 3 matrix A = | a2 bs CзJ |A| = a1 + az a2

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Q: Use a determinant to decide whether the matrix is singular or nonsingular.

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Q: For each matrix, determine det(A). Prove your answer by showing your calculation and stating clearly…

A: For (a), A=det8164043-27  =8·det04-27-1·det4437+6·det403-2  =8· 8-1· 16+6-8  =0

Q: Use a determinant to decide whether the matrix is singular or nonsingular 4 2 8 4 O singular O…

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Q: Evaluate the given determinant using elementary row and/or column operations and reduce the matrix…

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Q: Find the determinant and, if possible, the inverse of the matrix.

A: If the determinant of a matrix is zero then inverse does not exist.

Q: Calculate the determinant of the following matrix. Show your work! -3 0 - 31 3 2 - 3

A: We have to find

Q: If A is a 3 x 3 matrix and det(A) = -2 what is the determinant of (5A) A. 250 В. 1 250 С. 1 250 D.…

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Q: Let A be a 5 x 5 matrix and |A| = 3. The determinant of 2A is equal to 32 48 6. 96

A: Here A is a 5×5 matrix. |A|=3. We find |2A| ,that is determinant of 2A.

Q: Consider the following matrix 4 1 0 0 -3 1 (a) Find its determinant. (b) Does the matrix have an…

A: Given the matrix as 41-100001-3 (a) If any row(or any column) of a matrix is zero , then the…

Q: Find the determinant of the matrix -9 M = 0-2 -5 0 -6 %3D det (M) = %3D 200

A: The matrix is given as M = 2-9-50-2-500-6

Q: Use expansion by cofactors to find the determinant of the matrix.

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Q: Let a2 аз A = | b1 b2 bz C1 C2 C3 Suppose that det(A) = 5. Find the determinant of the following…

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Q: 5. By inspection, explain why the determinant of the following matrix is zero: 4 2 8 -4] -5 4 -1 10…

A: I have append the concept in the solution.

Q: The determinant of the matrix 1 -1 2 1 0 is 24. 1 |-1 1 A 4 в 8 C 6 D 2

A: The determinant of a matrix is a part of linear algebra . Here a 3x3 matrix is given whose…

Q: Evaluate the given determinant using elementary row and/or column operations and reduce the matrix…

A: To evaluate the given determinant using elementary row and/or column operations and reduce the…

Q: Evaluate the determinant, using row or column operations whenever possible to simplify your work.

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Q: Use the fact that |cA| = c^|A| to evaluate the determinant of the n × n matrix. 12 3 27 A = 15 9 18…

A: To evaluate the determinant of the matrix A, by using the fact cA=cnA.A=123271591824621

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

A: Given:  Matrix A=10-1324-205x4-34120    A=-54    Then A=1 0-1324-205x4-34120