8. (BH) Consider the following matrix: mi1 m12 m13 M = | m21 m22 m23 m21 m22 m23 (a) Show directly that det M = 0. (b) Use your answer to part (a) to show that if a 4 x 4 matrix has two rows the same, its determinant must be zero.

Q: Consider the fourth-degree polynomial equation a₁ + b₁x²q₁x² + b₂ a₂+ b₂x² a₂x² + b₂ a3 + b3x² a3x²…

A: Given that We know that determinant of a matrix is equal to zero if any two rows or two columns are…

Q: 3. Find the determinant of the given 4x4 matrix -2 2 003-1 2 3 2 0 5 -1 1 10 =

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Q: Compute the determinant of the matrix using the best possible method. Zmatrix ((2 -2 6 4)(2 3 7 1)(6…

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Q: (-81,24,16)

A: Determinant of matrix is=-5258

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A: First we need to calculate AAT and then we need to find the determinant of the obtained result.

Q: Given matrix A2x2, how do you calculate the determinant of A?

A: The determinant is a particular type of expression written in a special concise form .The…

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Q: (:) -5) and B=( 6 -3 3 2 1) If A = ( 3 4 Find:- a) A? b) determinant A c) adjoint A d) B-'

A: As per our company policy, we are supposed to answer only first question. For the rest please repost…

Q: Use determinants to find x, y, and z in t

A: GIven,                 x+y+2z-6=03x+2y+4z-9=02x+3y-6z-3=0

Q: Suppose V₁, V₂ € R³ are nonzero column vectors and V3 = 2v₁ - 32. What is the determinant of the…

A: Given: Suppose  are nonzero column vectors and  We have to find what is the determinant of the…

Q: b) Consider the following matrices: Solution: M₁ = [1 −7], M₂ = [1 2], M₁ = (1 1]. A = [23], B= [13…

A: Step 1: Determine if A is in the set Span({M1​,M2​,M3​}).Step 2: Determine if B is in the set…

Q: 1 - 2 2 4 C = 3 4 – 2 -2 –2 3 3.

A:

Q: Find the solution of the following system of Equation using Gauss Jordan Elimination method, 3x, -…

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Q: If the determinant of the 2x2 matrix 3 a 2 b is 7, then what is the determinant of the 2x2 matrix a…

A: To find the determinant of matrix.

Q: Given 2. A and B = ( 4 Find the matrix represented by: (iii) 3(A – 4B) (iv) B+ 3AT

A: The given matrices are A=254-2  and B=-1724. (iii) Evaluate 3(A-4B) as follows.…

Q: - use determinant to find the values of the unknown variables of the system 2x + y + 3z = 6 3x +z =…

A: See the details solution in below

Q: If a₁, 92, 93, determinant: ... are in A.P., then find the value of the following ap+ap+m+ap+2m…

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Q: (a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3…

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Q: Consider the following system 321 + 2z2 + I3 = 3 T1- 2z2 +3zz = 9 221 + 22-2zs =-3 %3D %3D Find the…

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Q: Use the determinant of the coefficient matrix to determine whether the system of linear equations…

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Q: If the determinant of the 2x2 matrix 5   a 8   b is 7, then what is the determinant of the 2x2…

A: TO find the determinant of the matrix  B.