Question No. 3: Using GAUSS –JORDON Method, find the Inverse of the following matrix : 1 2 -1 4 2 -3 -3 1 3 2 -2 -1

Q: Question 5 Use Gaussian Elimination to carry the following matrix to a REF: 1 3 -3 -2 -3 1 -6 3 -3 3…

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Q: QUESTION 9 104] 0 0 0 Poonam reduced her matrix using RREF on her graphing calculator and got the…

A: The given RREF matrix is: 104000 The given matrix is RREF matrix of the augmented matrix of a…

Q: Question 20 Given that A= 12 -5 has the form A= PCP-¹, C- 0c-12²2 C OP-11 0 -3 -1 and P = Op- and P…

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Q: Problem 3. Find the inverse of the following matrix A by "transforming A into the identity matric".…

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Q: Question 3 Find the inverse of the matrix Choices: -3 1 3 а. с. -4/3 1/3] -3 4/3 1/3] 3 d. 1 1 b.…

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Q: QUESTION 10 104 Poonam reduced her matrix using RREF on her graphing calculator and got the…

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Q: PROBLEM 4: Let A and B be 4x4 matrices with det(A)=5 and det(B)=-2. Compute det(3A?BA").

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Q: Question 28) Determine whether the given matrix is elementary. (a) (b) (c) (d) 외 1 0 -5 1 -5 1 10 1…

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Q: (5 3 Problem 5. Let A= 2 1 (a) Calculate A-1 by any method. (b) Using your answer to (a), explicitly…

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Q: Problem 6 Use any method to find the inverse of the matrix A below: -2 1-67 A = 4 0 12 12 0 39 Pakis

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Q: Question 3: a) Compute the inverse of the matrix A [o 2 21 A = |1 1 1 Lo 1 2] b) Use the inverse of…

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Q: Problem 7 n x n matrices. Simplify the expres- §3.7, Exercise 4. Let A, B,C be general sion…

A: The simplified result is, C-1  The detailed solution is as follows below :

Q: Question 2: It is a block matrix, and "O" mean all 0, "I" mean all 1. I O I O Вс I Find the inverse…

A: Gauss-Jorden elimination method:  To find the inverse of the given matrix, first we need to augment…

Q: Question 2 : Consider the matrices 1 1 3 A = 1 2 4 1.1 4 (a) Use elementary row operations to find…

A: First we find inverse then x=A-1 b.

Q: Problem 6 a 0 $3.7, Exercise 3. Let A = be a 2 x 2 diagonal matrix. For which values of a and b is A…

A: By necessary and sufficient condition of existence of inverse of a square matrix we can solve the…

Q: Question 14 Find the inverse of the following matrix: 1 2 1 2 -1 2 1 -2 1 1 A. 9- 12 3 5 -3. В. 6.…

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Q: Question 4 Find the rank of the matrix. 1 1 -1 3 -1 4 -2 1 6 3 4 1 2

A: To find the rank of the given matrix

Q: Question 3 Consider the matrix 1 1 3 A = 1 2 4 1 4 Use Cramer's rule to find, if possible, the…

A: We use cramers rule

Q: Question # 7: Find an LU factorization of the following matrices с. 2 -6 6. 5 -7 5 -1 -4 3 -6 4 -8 8…

A: Given: 2-66-45-735-1-64-88-39

Q: QUESTION 3 4 -2 4 A= -3 -4 -9 8 Find the inverse of the given matrix A and enter (*) the element in…

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Q: Question 4 Find unknowns a, b, c, d ve e for matrix A to be orthogonal. 4/9 4/9 ] а A = |4/9 2/9 b d…

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Q: Question # 7: Find an LU factorization of the following matrices с. 2 -6 6. 5 -7 5 -1 4 - -4 3 -6 8…

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Q: Question 3] Consider the matrix Г1 1 A= |1 2 4 3 1 1 4 Use Cramer's rule to find, if possible, the…

A: Use Cramer's rule

Q: QUESTION 7 State whether the given statement is True or False: 2 1 The given matrix is in the…

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Q: Problem 8 §3.7, Exercise 2. Let a 0 be a real number and let A be an invertible matrix. Show that…

A: Given: α≠0 is a real number and A is an invertible matrix. To prove: The inverse of the matrix αA is…

Q: Rework problem 27 from section 6.1 of your text, involving powers of matrices. Use the following…

A: To calculate the square and the fourth power of the given matrix P

Q: Question # 7: Find an LU factorization of the following matrices b. 2 -4 4 -2 6 -9 7 7 -3 1 -4 8.

A: To Determine :- 2-44-26-97-3-1-480 Find LU decomposition.

Q: Question 12 Find the value of z in the equation matrix. M. + 2% a. 1/2 C. -1/2 b. 1/4 d.-1/4 O D O A…

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Q: Question 3 Find the inverse of the matrix Choices: : 特 -3 3 -1 -4/3 1/3 1/3 a. c. 1/3 1 -3 3 d. [4/3…

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Q: Problem 5. Prove that for any matrix A = (aij) E M„(R), det(A) = eod1o(1)d2o(2) · · · Ano(n) ...

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Q: Question 44 Select the matrix corresponding to the quadratic form Q (21, 12, 13, 24) = -2xf + 5x –…

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Q: PROBLEM #1 Find the inverse matrix of the given matrix using Gauss Jordan Elimination. 1 2 31 21 1 2…

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Q: Question 5 Find the inverse of the matrix, 2 -1 -4 -7 -2 -6 Choices: -3/2 1/2 I-7/2 3/2 1/2l 4 8- 3…

A: First we find the determinant of the matrix

Q: QUESTION 4: Given the following matrices: [1 -1 5] A= 4 3 1 Is A orthogonal? Why?

A: A=1-15436010

Q: Question 2: Consider the following matrices: 1 a) Show that AB = BA = 1 and therefore B = A b) Find…

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Q: Problem 2. Compute the inverse of the following matrix using Gauss-Jordan elimination: [2 7 1 4 -1 1…

A: Given that  The matrix is  Using the gauss Jordan method  To find the inverse of the Matrix

Q: Question 9 Given the matrix below, find AB. [-1 21 0| and B [3 -2 1 2 A =| 5 %3D 4 3 11 Choose your…

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Q: Problem 3. (a) For invertible matrices A, B E R"X", show that ((AB)")-1 = (A-')"(B-')". (b) Let A,…

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Q: Question 18 If A and B are n x n matrices and rank( A) = rank( B) = n, then O A. rank(AB) = 2n OB.…

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Q: Question 1. Let qA(x, y) = 4x² – 12xy + 9y? be the quadratic form of a matrix A E M2,2. Is A…

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Q: PROBLEM #1 Find the inverse matrix of the given matrix using Gauss Jordan Elimination. r1 2 3 1 21 1…

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Q: Question No:2 Find out the inverse for the following matrix if it exists by using any sequence of…

A: We have to find the inverse of the given matrix using sequence of elementary row operation   The…

Q: Question 33 Determine whether the matrix is in echelon form, reduced echelon form, or neither. [1 -2…

A: The given matrix is: 1-2-44004-3000-20000 We have to determine whether the given matrix is in…

Q: Question # 7: Find an LU factorization of the following matrices b. 2 -4 4 -2 6 -9 7 -3 -1 -4 8.

A: The LU factorization can be solved using Gauss elimination method. The matrix is not a square…

Q: QUESTION 4 Find AxB (Matrix Multiplication). 2 1 -2 A = 3 -1 4 -1 2 1 B = -2 4 %3D -3 7 -6 3 -1 -2 O…

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Q: QUESTION 2 Which of the following matrices is not an elementary matrix? 1 (D) 0 1 0. (A) (B) (C) 2 0…

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Q: Problem 1 Determine the matrix exponential function e for a. 4- ) A = 3. b. 1 A = 3-1 3 -4

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Q: Question 2 Find the inverse of the following matrix using the Gauss-Jordan elimination method. 8 -7…

A: To find The inverse of the given matrix using Gauss Jordam elimination method

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.