1. Find determinant of the following matrices using the given method; (a) Co-factor method 1 2 A = 0 −1 1 1 2 (b) Elementary operation method B = 1 3 1 4 3955 0 201 (c) Hybrid (combination of both methods) B = 4 3 2 1 -27 33 96 -4 5 5 6 7513 -1 4 5 2

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: Show that D^2 = {(x, y) ∈ E^2: x^2+y^2 ≤ 1} ⊂ E^2 and the space containing a single point are…

A: In algebraic topology, two topological spaces are said to be homotopy equivalent if there exists a…

Q: Find determinants of the following matrices (a) 30 4 23 2 05 -1 (b) 2-2 3 2 3 a 1 3 (c) a b 1 -32 4…

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Q: 1.) Find the determinant of the matrix A 4200 71 01 1006 0301

A: The given problem is to find the determinant of the given matrix A of 4*4.

Q: Suppose A is a 3 x 3 matrix and det(A) = 5 If A = 2B, then what is the value of det (B)? Calculate…

A: Given problem 1: A as 3×3 matrix. detA=5 To find: Suppose A=2B, determine detB. Given problem 2:…

Q: QUESTION 5 If the determinant of the 3x3 matrix 3 a -1 2 b 10 1 12 5 is 7, then what is the…

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Q: (a) Find the following determinants. 1 2 -1 -2 787 296 3 -3 1.67291

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Q: Consider the following matrix  [ 0  -3  -2 ] [ 2   0    5 ] [ 0  -3   0 ] find its determinant

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Q: 6 4 0 13 С — 2 2 8 А В - 3 -1 11 -1 5 7 -5 3

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Q: Evaluate the determinant of the given matrix. det(A) = A² + 3x + 12 A²+ 3A - 10 x² + 3x + 2 A²+ 3A -…

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Q: 1 2 What is the determinant of the matrix 3 4 13 02 0 5 O-2 O-5 0? 0

A: The determinant of the given matrix [expanding about the third column] is     1 | 3    4 |   – 0 | 1…

Q: 2. Compute the determinant of the following matrix [1 0 0 31 0 2 1 0 0 1 2 0 3 0 0 1] A = 3. Compute…

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Q: Compute the determinants of the matrices: 0 1 1 3 3 1 1 2 2 -1 -1 2 2 31 2 2-3-2

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Q: (g) 1302 3440 2 -2 3 2 1 -3 1 1 4 -1 3 0 (h) 1 -2 3 -12) -5 12 -14 19 -9 22 -20 31 -4 9 -14 15

A: We know that determinant of diagonal matrix, upper triangular matrix, lower triangular matrix is the…

Q: (b) For matrices A = compute following (i) AB and BA -1 -2 1 " B = [ 3² 3], 0 = [-2² 1²/2 41-²-3 and…

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Q: 1 2 What is the determinant of the matrix 0-4 0 0 O O -8 8 07 6? 2

A: Please refer to the solution in next step.

Q: n2 (n+ 1)2 (n+2)²] Let n be a positive integer. Let A, be the 3 x 3 matrix (n+1)² (n+2)² (n + 3)²…

A: We are given An=n2(n+1)2(n+2)2(n+1)2(n+2)2(n+3)2(n+2)2(n+3)3(n+4)2…

Q: Find the determinant of the following matrix. ij k 5 1 -2 7 -3 5 O 39i - 11j + 8k O 1i - 39j - 22k O…

A: Find the determinant by cofactor formula