Given matrix A = [ 4 3 3                                 3 4 3                                 3 3 4 ] find the determinant | ( A^290+I )^(-1) |

Q: Make example about  matrices and determinants method

A: Solution:- Matrices are the ordered rectangular array of numbers, which are used to express linear…

Q: By computing the determinant of a suitable 2 x 2 matrix, find the area of the parallelogram with…

A: As we know that; The expression for the area of the parallelogram with adjacent sides a→ & b→;…

Q: Create a 3x3 matrix with determinant 1

A: Given that the matrix should be of order 3.

Q: Determine the determinate of x, sin x, cos x by using a 3x3 matrix

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Q: "he determinant of the matrix 1 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 A = |1 2 3 4 5 6 7…

A: Here since the columns of matrix A is linearly dependent

Q: Give example 2. Determinant of a 5 × 5 matrix using properties of determinants

A: The solution of the problem is given in the next steps.

Q: Explain the fact” The determinant is zero when the matrix has no inverse”.

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Q: Use the determinant of a matrix to find the area of the triangle whose vertices are (1,7) (0,6) and…

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Q: kindly solve for the determinant using Pivotal Element Method.

A: Given determinant X=4-12320211030114245

Q: Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by…

A: Given- A is 20x20 invertible matrix whose determinant 2. Matrix B is obtained from A by…

Q: The maximum value of the determinant among all 2×2 real symmetric matrices with trace 16 is

A: But they cannot be both negative as a+d=16 And the value of ad is maximum  a=8, b=8 Therefore

Q: True or False If determinant of matrix A is equal to 1, then the adjoint of A pre-multiplied to A…

A: Identity matrix: A square matrix whose diagonal elements are all one and all the non-diagonal…

Q: Compute the determinant. What does this imply about the invertibility of the matrix?

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Q: Show how Rule 6 (determinant= 0 if a row is all zero) comes from Rule 3.

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Q: Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by…

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Q: Compute the determinants using cofactor expansion along any row or column that seems convenient

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Q: ind the determinant of the matrix 3 1 -2 5 0 7 -4 -1 4

A: We can find the determinant as below

Q: Find 3 x 3 upper triangular matrix with determinant 1.

A: 3×3 upper triangular matrix

Q: According to determinant properties, when two rows are interchanged then signs of determinant Must…

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

A: Given: A=012-10-3230 We know that determinate of any given matrixP=a1b1c1a2b2c2a3b3c3 by cofactor…

Q: Compute the determinants using cofactor expansion along the first row and along the first column.

A: Co factors of first row: Therefore determinant value is,

Q: 7. find the determinant of the following matriz : 15 -2 4 -5 -3 6 6 -7]

A: # we are entitled to solve one question at a time, please resubmit the other question of you wish to…

Q: Use Cramer's Rule to solve for x, in the system: -x, - 4x, +x, =-5 3x, +x, - 2x, =-13 2x, – 2x, +x,…

A: Concept:

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

A: Given,         wxyz21-152427-2410-3218-224035-32

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

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Q: Use a determinant to find the area of the triangle with th- (-6, 0), (6, 0), (0, 3)

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Q: Is it possible to find the determinant of a 4x3 matrix? If yes, cite an example, if not please give…

A: A matrix has an determinant iff it is a square matrix i.e of order n×n

Q: For which matrix we are unable to find inverse, determinant.

A: We have use the matrix property

Q: 5 0 -7 2 - 6 0 0 2 8 4 -7 3 - 8 6 0 4 - 4 0 0 - 1 4

A: The Determinant is, (- 384)   The detailed solution is as follows below::

Q: Solve for the determinant using Cofactor Expansion Method only. 3 5 1 9 6 5 4 3 7 A =| 2 4 6 8 5 7 3…

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Q: Compute the determinants using cofactor expansion along any row or column that seems convenient

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Q: The determinant of identity matrix is: * 1 Depends on the matrix

A: Solution: The determinant of identity matrix

Q: 5. y= e²^(c,cosx+c,sinx)

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

A: Given matrix is:

Q: 1 2 -1 4 0 1 2 0 3 -2 2 -1 1 2 0 -2

A: Given: A=12-14012-2032-1120-2

Q: 2. Create an LOWER TRIANGULAR MATRIX using ROW operations. Show each step and the formulas used.…

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Q: for what type of matrix can we evaluate the determinant? what is the determinant?

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Q: Please make it step by step: b.Using Matrix [C] and ‘k’ prove that Property 3 of determinant is…

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Q: Find the determinant using co-factor method

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Q: Compute the determinants using cofactor expansion along the first row and along the first column.

A: Let A=123231312 First we will find determinant using cofactor expansion along first row.…

Q: Find the value of the determinant of the matrix which its rows are: Row 1: 1, 3, 1, 4 Row 2: 3, 9,…

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Q: True or False If determinant of matrix A is equal to 1, then the transposed matrix of cofactors of…

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Q: Use Cramer’s Rule (determinants) to solve the system:

A: Given:x-y=-53x+2y=0AX=B1-132 xy =-50

Q: Give example 1. Determinant of a 5 × 5 matrix using cofactor expansion

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Q: Compute for Determinants of Matrix -3 mat C = 8. -5 5 5 5 -3

A: C=-33-18-5-755-3

Q: How to calculate the determinant of a change of basis matrix? Is it always 1 or -1?

A: The change of basis matrix from B to A is the n × n matrix SB→A whose columns are the elements of B…