1 1 0 -1 1 1 2. (a) Let A = 1 Using row operations, compute the determinant of A. -1 2 4 1 3 1 (b) Let B and C be 3×3 matrices such that det B (ii) det(4C) = 5 and detC = -2. Compute the following: (i) det(B-1) (iii) det(B"C) (iv) det(C“) (v) det(C-'BC)

Q: Calculate the determinant of A det (A) = Number -5 3 -1 5 00-3 0 3 -5-2-4 -2 -1 4 5

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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)…

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Q: 2 1 0-2 -1 0 -1 1 2 0 1 2 1 0 along the fourth column 3

A: Here we have to calculate the determinant value of the given matrix.

Q: First question: Find the inverse and determinate of the matrix A = [??H] -1-3 1 3 60 1 0 1 ||

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Q: -1 1 1 A = ( ). 3 2i В — y 2 -2 -2.

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Q: Let A be the matrix given by -2 -3 A = 1 -1 4 3 Compute the determinant of A using expansion along…

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Q: 1. For the matrices A and B given: 2 -3 5] 1 58-1²1 -2] 3 B = A = (a) Find the determinants of A and…

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Q: If A and B are 2 x 2 matrices with determinants |A| Find the determinant |(3ATB-¹) (2B-¹)¹. (d) 1/1…

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Q: 2 1 Let A = Show the details of two different methods [(1) using the adjoint and determinant, (2)…

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Q: /2 003 1Y 0-10 00 II-I0 (2 2 210,

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Q: Find the determinant of the matrix 3 3 M = 2 -1 -1 -2 1 det(M) :

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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: ) Given the matrices: 0 -3 3 0 1 0 4-3 A 3 0 -3 15 02 0 3 3 0 7 01 i) Compute det (B) det(C') –…

A: In this question, three matrices A, B , C are given and we want to compute the given expression and…

Q: Suppose det(A) = 5 and then you perform the following row operations in the order shown. What is the…

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Q: Calculate the determinant and inverse of the matrices by scaling

A: For matrix A Determinant of A = |A| = 0 As row1+ row2 = row5. Hence |A| = 0 So, inverse of A doesn't…

Q: Given the determinants of the following matrices: 40 6 -4 6 2 40 -4 6 2 6 -4 2 6 -4 40 2 6. 40 6. 6…

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Q: Find the inverse of the given matrix using adjoint method and check your answer by performing the…

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Q: 3. Let D, E and F be 4x4 matrices such that det (D) = 2, det (E) = 3, and det (F) = 4. Calculate the…

A: For square matrices A and B of order nXn. The following properties hold. det(kA)=kn det(A).     For…

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: fa 7x7 matrix A has det(A) = 1/4, compute the following determinants: (a) det(5A) (b) det(-3A) (c)…

A: Here given that A is 7×7 matrix and det(A)=1/4

Q: Find the determinant 0 0 0] 3 00 2 3 0 -7 92 A = -2 -1 -6 DEN 5 det (A) (A) = of the matrix K

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Q: eterminants of the i) using the "diag

A: Introduction: Let us suppose that A=ABCDEFGHI, Then determinant by the diagonal method is given by,…

Q: 2 -1 What is the determinant of the matrix A 3 -5 2 1 4 -2 .a - 4 .b 12 .C - 44 .d 8

A: Given that  The matrix  To find the determinant of matrix A