3. Show all work!) (a) Calculate the determinant of A by using ONLY the expansion across column 3, where 1 -2 3 A = -4 -6 9. -8 6- (b) Is the matrix A invertible? Why or why not? 7 (c) Find B-1, where B = (Entries must be fractions!) 4 82 (d) Solve Bx = by using an inverse. -82

Q: |a1 a2 a3 -: Question 4. Given b₁ b2 b3 = -2. Evaluate the following |C₁ C2 C3 determinants (a) bil…

A: a1a2a3b1b2b3c1c2c3=-2

Q: Evaluate each determinant. 3 -1 -5 3 -3 4 7) 0 0 -6 8) -6 5 -5 1 -2 -5 -3 -6 1 0 -2 6 6 -5 3 9) 5 5…

A: As per bartleby guidelines only first three subparts are to be solved please upload other…

Q: Let A 1 1 A = 1A -1 1 Then answer the following. (a) Determine a;ı · (a2 x a3), for i = 1, 2, 3. (b)…

A:

Q: Let A = [1 1 2 1 2 -3 5 4 L3 2 -1 1 -1 0 4] 6 and B = a) Find the determinant of A. b) Solve the…

A: Firstly, we will find the determinant by using row operations and then solve the given system of…

Q: Find the determinant of M = (a4-b4)/(a-b) , given that matrix M is:            [ (a+b) (ab) (0) M =…

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Q: Evaluate the following determinants and negative of determinants of order two: (a) (1) 3 4 5 (ii) 3…

A:

Q: to compare the numbers of operations involved in calculating the determinant of a 10 × 10 matrix by…

A: We use the Row Echelon Form Method.    It is used to reduce the given matrix to triangular form and…

Q: *** eterminant using a cofactor expansion across the first row. Select the correct choice below and…

A: Topic:- matrix algebra

Q: 1.) Find the area using matrix and determinants? N Bermuda (452,196) Miami (0,0) W + E Puerto Rico…

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Q: Given the matrix 3-40000 10 5-300 000 0050000 000-10000 00002-30 000005 4 00004 2 3 Find the…

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Q: 12.) Find the determinant of A= -2 3 1 57 -1 2 0 4 1 0 TN -2 1 3 -3 4 Show your work.

A:

Q: The correct determinant value for the determinant O (7)(5) - (8)(2). O (7)(2) + (5)(8). O (7)(8) -…

A: To answer the given MCQs.

Q: What is the cofactor of the entry a3,1 of the given determinant ? 3 -2 1 A = |-1 2 -4 -3 5 A. To

A: D)  option D is correct.

Q: 11 A-/5 ー4 -2 3 B= -4-2 2. 2-3-1 1 Find the determinant of Ax AT

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

Q: (15+15+10) A 3 × 3 matrix M has columns V₁, V2, V3 (in that order). (a) (₁) Compute the determinant…

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Q: Get the Determinant using PIVOTAL ELEMENT METHOD. Use -3 & 4 as Pivor ELEMENT. A= 3 2 -4 -5 -2 1 0 3…

A: Given: A=3-24221-35-40-1-2-5324 To find: Determinant of the given matrix using Pivot Element…

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

A:

Q: 1. Find the determinant for -6 4 1 -3" a) E = b) F =| -5 2 -2 5

A: (a) Given matrix is E=−64−52 We have to find the determinant of E=−64−52 detE=−62−−54=−12+20=8…

Q: -2 3. - Use elementary row operations to evaluate the determinant. 2 -2 -1 3. Your steps must be…

A: Since adding a multiple of one row to another does not change the determinant, so we can use…

Q: 12 =[-1²] Let A = @ without using A-1 6 Solve © Solve and B = [ determinants, compute. 24 235 -2 Ax…

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Q: Use elementary row or column operations to find the determinant. 4720 4-8 8578 9824 Need Help? HON H…

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Q: Use the fact that |CA| = |A to evaluate the determinant of the nxn matrix. 12 18 A = [ ¹² 6-24 STEP…

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Q: 3x3 Matrix Determinant 8 4 3 -5 -2 7 9. 9 -8

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Q: 1 -2 3 1 5 -9 3 Calculate the determinant using expansion by the second row: -1 2 -6 -2 8 1 6

A: Let A=abc  def  ghi , then the determinant, |A|=aei-fh-bdi-fg+cdh-eg .

Q: [7 9 7] Identify which of the following among the four choices will be the determinant of the given…

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Q: 66 If a,, b, EN for i = 1,2, 3, then c e determinant; 1+x) a₁b₁ 1+ x) 0₂b₁ (1+x) a₁b₂ (1+x) 0₂b₂…

A: