Prove that the following matrix is not invertible by computing the determinant: [sin^2(alpha), sin^2(beta), sin^2(gamma) ; cos^2(alpha), cos^2(beta), cos^2(gamma) ; 1, 1, 1]

Q: Compute the determinant ofby using row operations to obtain upper triangular form.

A: Given matrix - A = 12100123-20-1-1300-1Let's first convert it into upper triangular matrix using row…

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

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Q: Find the determinant of matrix A by using cofactor expansion. Show your work. 1 A = 0 0 - 1 3 3 -2)…

A: Given matrix A=13-2005131 Now we need to determine the determinant of matrix by cofactor method.

Q: Prove that a 3 by 3 determinant in which the entries in column 1 equal those in column 3 has the…

A: We know that the value of a determinant with any two identical rows or any two identical columns is…

Q: Find determinant of the Matrix A

A: Given: A=266276377

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: 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: 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: Compute the determinant of the matrix by expan

A: Given,              429529774

Q: Please evaluate the determinant using Chio's method.

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Q: Verify that the matrix is orthogonal.

A: We have to verify that the given matrix is orthogonal: cos ϕ-sin ϕsin ϕcos ϕ To check the given…

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: Use expansion by cofactors to find the determinant of the matri: 4 20 0 6 0 1 2 4 5 0 0 35 4 0 0 6 3…

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

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

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

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Q: How can I find the inverse of a non-square matrix whose determinant is not equal to zero My teacher…

A: We can find left inverse and right inverse of non square matrix. but we can’t define determinant of…

Q: matrix has determinant 9 and a repeated positive eigenvalue. What is this eigenvalue?

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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: Prove that: Asquare matrix B has inverse if and only if determinant of Bis not equal zero

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Q: Let and Compute the area of the parallelogram determined by four points with position vectors u, v,…

A: This question is from matrix

Q: Show that the matrix is invertible and find its inverse.

A: Now adjoint of matrix A is,

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: .

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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: 1. Can we use cofactor expansion in any n x n matrix? Why? How? 2. Does a 1x 1 matrix has…

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

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Q: Find the determinate by expanding about the 1st row. 1 3-1 223 1-1 0

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Q: When expanding a determinant by minors, when is it necessary to supply a minus sign?

A: When expanding a determinant by minors, we need to supply minus signs while in an alternate way. For…

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

A: Solution: The determinant of identity matrix

Q: Suppose (x, y, z) and (1, 1, 0) and (1, 2, 1) lie on a plane through the origin. What determinant is…

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Q: Without using determinants, show that {(2, –x,,3x²,x³} is a basis for Ps then find dimension for P3

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Q: The determinant of a square matrix can be computed by expanding the cofactors of the elements in any…

A: The determinant of a square matrix can be computed by expanding the cofactors of the elements in any…

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: c.Using Matrix [D] prove that Property 4 of determinant is true

A: Determent of the Matrix, using properties

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

A: Given 11-12013-21.

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

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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…

Q: matrix using chio'

A: Given matrix is A= 0406125-5-2017109-5-2825-62111-10-3-1595-7512016-17812-2