[2 3 6 5 9 6 11 4 1 5 0 1 4 6 12 8 0 2 10 18 7 8 0 14 3 12 16 19 [A]= 10 2 7 5 0 0 1 10 2 7 6 11 6 9 12 1 4 13 7 1 0 2 9 3 4 7 11 3 4 7 19 7 1 8 find det[A] and give two reasons? (Use only the properties of determinants. Do not compute it by using the determinant expansion) (b) A system of linear equations is given as shown below. 2x; +3x, +2x3 = 18 X+2x, + x =11 X +2x, +3x =13 i) Find the second unknown x2 of this system by using the Cramer's rule. ii) Find the xi and x3 of this system by means of matrix inversion. (Remember that [x]=[A]'[b])

Q: Suppose you estimate to be 0.6 -0.5 0.3 T= 0.3 -0.25 0.15 1.2 -1.0 0.6 a. Show that the determinant…

A:

Q: 1. Use Gauss Elimination to solve the determinants for the following: 2x, + x2 - x3 = 1 5x1 + 2x2 +…

A: 1.  The given equations are, Converting given equations into matrix form

Q: (a) 0 2 10 0 11 5 8 7 0 1 0 0 0 5 7 8 (b) 0 2 0 1 6 7 -2 0 0 0 5 7 -4 2 3 8 (c) -2 0 0 0 6 7 0 0 1 3…

A: Given matrices:-

Q: Use the cofactor expansion to compute the following determinant: 1 0 -3 -4 -6 0 8 5 det -4 -1 4 3…

A:

Q: Let A and B be 3 × 3 matrices, with det A = —3 and det B = 4. Use properties of determinants (in the…

A:

Q: 9. Let A = d. e f If det (A) = -7, compute the determinant of %3D dg B = d %3D O 1/7 O -42

A:

Q: .Solve the problems for the given matrices. 2 3 6 4 1 5 9 5 0 1 10 2 6 11 7 4 6 12 8 2 10 18 7 8 0…

A: Note: According to the company guidelines we can solve only one question. kindly post other…

Q: 2. Show that for any x, y e C" , det(1, +xy')=1+ y°x. Use this conclusion to compute the determinant…

A: To show: detIn+xy*=1+y*x for any x,y∈ℂn   To compute:…

Q: From the list below, select all TRUE properties of determinants. (But do not select any false…

A:

Q: Find the determinant by using the definition (Big Formula) 1 0 1 0] 1 0 0 1 B : 1 1 1 0 0 1 1

A:

Q: Compute the determinant by cofactor expansion. At each step, choose a row or column that involves…

A:

Q: Consider the following Gauss elimination: 1 0 0 0 1 0 0 7 -3 [1 0] 0 -9 0 E,E,E, A = 0 1 1 -9 O JA →…

A:

Q: Compute the determinants in Exercises using cofactor expansion alongany row or column that seems…

A: Given: Let y=1-103252601001421 To Find: The value of given determinants using cofactor expansion

Q: Find the determinant of the following: 2 0 41 1. I. -2 3 1 1 2 4 l4 4 2] 4. 4 5 -2 -3 4 5 4 61 2. -1…

A: A detailed solution is given below.

Q: 4.1 Compute the determinant using the Laplace expansion (using the first row) and the Sarrus rule…

A:

Q: 2. For any real numbers x, y, z what is the value of the following determinants |0 0 0 y| 0 0 а) 0 0…

A: a) 000y0x0000z01000=0+0+0+-11+40x000z100=-0x000z100=-0-x0-0+0=0 This is the required answer.

Q: Find the determinant of the following matrix by cofactor expansion. [ 1 0 0 2     0 0 2 0     0 2…

A: topic - determinant

Q: Evaluate the determinant of the matrix by a cofactor expansion along the fırst row. --1 1 4 A = 3 0…

A:

Q: Consider the following Gauss elimination 1 0 01 To 1 07 [1 0 3] 1 0 0] 3 2 -2 0 A -1 o 0 EA - 0o 1…

A:

Q: 15. Compute the determinant by cofactor expansion. 30 4 (a) 23 2 05 2-2 3 (b) 3 2 -1 1 400 5 172-5…

A: Given

Q: Compute for the determinant using cofactor expansion 41 2 2 7 1 2 -2 6 6 -6 13 14 [-2 2 -6 1] O -200…

A:

Q: Consider the following matrices -D-GD--010 1 1 1 1 1 1 10 A1 1 0 0/ 0 1 1 1 1 1 1 1 1 1 10 Ai 10 0/…

A:

Q: Calculate the following determinants by cofactor expansion. At each step, choose a row or column…

A: 2. (a) given determinant is…

Q: 2 In x 1 e* 2 2. 1 In 2x -1

A:

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

A: We have given the matrix;

Q: 1. Prove that the properties of determinants are true by solving the following: [3 1 -5 o -5 [-1 -4…

A:

Q: Use the cofactor expansion to compute the following determinant: -4 8 -7 | det -4 2 6 = 0 0 10 –4

A:

Q: 2. For real numbers 11,...,n, consider |10 0 1 1 0 0 1 1 0 0 0 0 0 0 ... W.w. ... 0 0 0 0 0 0 1 1…

A:

Q: Compute the determinant of A by using a cofactor expansion: [8 6] 3 l3 -2 5] 1 A = |4

A: find the determinant using the first row

Q: Find the determinant of the following: 2 0 41 1. I. -2 3 4 -3 4 1 1 2 4 L4 4 2] 4. 5 -2 5 4 61 2. -1…

A: We have to find determinants of give matrix.

Q: a) ВА b) Determinant of AT c) cofactors(B) Where [3 2 0 0 5 4 7 0 1 A =|1 3 1 0 0 10 3 85 Lo 1 0 1…

A: We have to find the value of (a) BA, (b) determinant of AT and (c) cofactors(B)

Q: Evaluate the determinant by general definition and by Laplace expansion: |-1 5 4 3 4 8 3 |A| = 8 5 7…

A:

Q: Compute the determinant of 15 2 4 3 4 1 A = 0 03 4 0 7 4 7 (a) by using a cofactor expansion across…

A:

Q: 1. Find the determinant of the following: [2 0 1. 1 2 4 l4 4 2 0 41 -2 3 1 4. 4 5 -2 -3 4 5 2 61 2.…

A:

Q: Consider the following Gauss elimination: 每,. Го о 11 1 1 0 0 3 2 -3 0 1 olA + 1 0 |E A → | 0 9 0…

A: Given: A Gauss elimination To find: Determinant of A.

Q: Compute the determinants in Exercises using cofactor expansion alongany row or column that seems…

A: We can find the value of the determinant by using Cofactor expansion. For n×n matrix We have the…

Q: Consider the following Gauss elimination What is the determinant of A? det (A)- - 0 A01 00 A 0 01…

A: Given: A→10-8010001A→100010006E1A→100001010E2E1A→1000-80001E3E2E1A=7-6-20-25003 To find the…

Q: Use the cofactor expansion to compute the following determinant. 5 -4 -3 0 8-5 9 0 det 4 1 -8-5 -3 3…

A: Solved below

Q: Use the cofactor expansion to compute the following determinant: 10 -9 3 det -5 6 -7 = 0 -7 1 -9

A:

Q: 2 -3 3 1 4. Compute the determinant of A via reduction to triangular form. -1 -3

A:

Q: Α = Α 2-2 3 3 1 2 1 3 -1

A: Determinant of a matrix using cofactor expansion along second row is as…

Q: Consider the following Gauss elimination: Го 1 1. 1 0 3 T2 -3 -9 0 EA → |0 9 0 E2EA→ 0 1 0 E3 E2E¡A…

A:

Q: Use the cofactor expansion to compute the following determinant: 10 9 8 det 10 -8 -10 = 0 %3| -3 -8…

A: NOTE: Refresh your page if you can't see any equations. . find the determinant using the first row

Q: 1 1 1 1 0 1 1 11 10 1 1 10 1 1 1 110 1 Find determinant of the matrixA= 1 1

A:

Q: Compute the determinants in Exercises using cofactor expansion alongany row or column that seems…

A: Given determinant is: We have to find the value of this determinant.

Q: 147 1. Given that det(C) = -11, where C 0 3 1 10 2 find the determinant of the given matrix. 1 4 7 1…

A: Given that det(C)=-11 where C=147031102 we have D=1109031164 The determinant of the matrix is given…

Q: 2. Verify that det(AB) = det(A)det(B) forthe following: -2 3 [1 0 2] a) A=-2 3 1 B= 3 -2 5| 1 2 1 3…

A:

Q: 4 0 4 1 3 Compute the following determinants via reduction to tri- angular form or by citing a…

A: Given: a) 3021b) 2143c) 400020003d) 413230132

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.