: Let A be a 4 x 4 matrix and suppose that |A| = 8. Using properties of determinants and inverse matrix, compute the ff.: (a)|A¯2| (b)|2A| (c) |2A-'|

Q: Calculate the determinant of the given matrix and identify the matrix inverse. [2 1 A = |0 L5 -2] 4…

A: Given The matrix is A=21-200457-1

Q: Q/ If you have the quadrilateral matrix below, then the determinant of the matrix is /A/ 0.2…

A: Determinant of a 4×4 matrix is given by,

Q: Evaluate the determinant of the given matrix by cofactor expansion along the indicated row.

A: Given matrix is: i2+i0-132i0-11-i To evaluate the determinant of the given matrix by cofactor…

Q: In each part, find the determinant given that A is a 4 x 4 matrix for which det(A) = -2 1) det(-A) =…

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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: If A is a 3rd order matrix with a determinant of 5, then det((2A)^-1)=?

A: Using, Determinant formula

Q: ) Let A be a nonsingular matrix, consider the 8 2 matrices A- -6 4 10 1 5 2 (a} .- ) Find the…

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Q: 2. Find the determinant of the following matrix by reducing it to an upper triangular matrix by…

A: Given:    A=-1220211-131-122410  upper triangular matrix using elementary row operations:…

Q: If A is a 2 × 2 matrix with |A| = 3, use the properties of determinants to compute the following…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2 34 А — 4 20 -30 2

A: From the given matrix A.  1. What is the determinant of A along the second column? (Use cofactor…

Q: Find determinant of the matrix using row or column operations and properties of the determinants…

A: Determinant of matrix

Q: Find the determinant of the elementary matrix. (Assume k ≠ 0.)

A:

Q: Find the determinant of the elementary matrix. (Assume k + 0.) 1 0 0 6k 1 0 0 0 1

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Q: 1 3 4 -2 3. 2. 3. 3.

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Q: Find the determinant of the following matrix by cofactor expansion. [ 1 0 0 2     0 0 2 0     0 2…

A: topic - determinant

Q: (a) The determinant of the matrix is: (b) Does the matrix have an inverse? ?

A: Here we use a theorem related to determinant and inverse of that matrix. Which is as follows a…

Q: Find the determinant of the matrix a a b a a a b a A = a baa bаа а by applying appropriate…

A: For a given matrix A, |A| is the determinant

Q: -1 Find the determinant of matrix A det(A)

A: Solution

Q: at is the determinant of an elementary matrix? at is the determinant of a matrix with two…

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Q: For square matrix A, if its first row equals 5 times the third row, then its determinant is 0. True…

A: We are given with the matrix who is first row is five times the third row and we have to find the…

Q: Compute the determinant of the given matrix. If the determinant is nonzero, use the formula for…

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Q: 3. (a) Find the determinant of the matrix A below. '1 0 -1 A =0 0 1 10 -1

A: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for…

Q: 4.- Using Sarrus's rule, obtain the determinant of the given matrix. 2 -1 3 [A]: -1 %3D 2

A:

Q: -2 Find the determinant of matrix A = 3 3 det(A) %3D

A: In the given matrix,

Q: Find the determinant of the following matrix using elementary row operation [1 2 2 A= |1 10 2 4 4 Is…

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Q: ) Let A be a nonsingular matrix, consider the 8. 2 matrices A- -6 4 10 1 (a) ( :) Find the…

A: See the answer below

Q: Find the determinant of the elementary matrix. (Assume k 0.) 0 0 0 5k 0 1 0 1

A: 10005k0001

Q: 2. If A is a 3 x 3 matrix, prove that the determinant of A is equal to the determinant of AT.

A: 2. Given A is a 3×3 matrix we need to show that determinant of A is equal to AT. Let A=abcdefghi.…

Q: Suppose that a 4 x 4 matrix A with rows v1, v2, v3, and v4 has determinant det A = 2. Find the…

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Q: Find the determinant of the elementary matrix. (Assume k + 0.) 10 0 5k 1 0 0 0 1

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Q: Let A be a 3-by-3 matrix whose determinant is -5. Use properties of determinants to evaluate the…

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Q: Let A is an orthogonal matrix, that is, AAT = I and B? = I. Compute the determinanm of the matrix…

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Q: Compute the determinant of the matrix by cofactor expansion. T-4 3 -3 2] 0 -1 0 3 0 0 0 -3 1 4] 2 -2…

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Q: Find the determinant of the following matrix. 3 1 0     3 −3 1 2 −1 0

A:

Q: Find the determinant of the elementary matrix. (Assume k ≠ 0.)

A:

Q: Find the determinant of the given matrix using the following method:

A: Sol

Q: If the determinant of a 4×4 matrix A is det(A)=2, and the matrix D is obtained from A by adding 5…

A: Given det A= 2  D can be obtained by adding 5 times the third row to the second in A  See the…

Q: Compute the determinant of the matrix A, below, by using row operations to transform the determinant…

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Q: = 1. Find the Suppose that a 4 x 4 matrix A with rows v1, V2, V3, and v4 has determinant det A…

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Q: Find the determinant of the elementary matrix. (Assume k ≠ 0.)

A: Given:  A=001010100 for finding determinants of given matrix we expand it along row first

Q: E. Compute for the determinant of the 4x4 matrix below using minors and cofactors. 3 2 2 2 2 1 1 1…

A: Given that: 0322020020110104

Q: Compute the determinant of the matrix A, below, by using row operations to transform A to an…

A: NOTE: Refresh your page if you can't see any equations. . by adding or subtracting, one row to…

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

A: For the given matrix E one column is 0. If a matrix has one column or  one row is 0 then the…

Q: ) Let A be a nonsingular matrix, consider the 8 2 2 matrices A- -9- 4 10 2 (a} .- ) Find the…

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Q: (b) Given that A and B are 3x3 matrices where det(A) = -3 and det(B) = 3. Compute the following…

A: solution:Given A and B are 3×3 matrices .Also, det(A)=-3 and det (B)=3.WE need to find detA2T.(2B)-1…

Q: 3 Given the matrix A =|. l, find its determinant. 2 3 - The determinant of A is

A: Given:      A=03-2-3 The determinant of 2×2 matrix is abcd=ad-bc