1. Given the matrix A = 246 0-14 427 find A-1 by transforming A to an Identity matrix (if possible) by using the elementary row operations. Is matrix a singular? explain your answer.

Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

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Q: Find the LU factorization of -1 -5 -4 A = -5 -26 -18 That is, write A = LU where L is a lower…

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Q: Let A = 2 1 54 Write 5A. Is det(5A) equal to 5det(A)? 5A= (Type an integer or decimal for each…

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Q: -2 6. What is the diagonal matrix Find an orthogonal matrix Q that diagonalizes A = 6. A?

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Q: Find the matrix A if 3 1 4 A = 11 00

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Q: Let A be the matrix Compute A50

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Q: Show that the matrix A is positive definite A = 2 1 12

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Q: 3 Compute x using the vectors w = -4 and x = 2 - 5 2 x = (Simplify your answer. Type an integer or…

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Q: REI [1.5 5 -151 2 30 -1 2 1 .5 and C= [-2]. -.5 16. For this problem, let A = a) Use your calculator…

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Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below and…

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Q: Let A = (a) and B = (A + B)(A + B) (b) A2 + 2AB + B² 3) Let A2 and B2 denote the matrix products AA…

A: A=5423B=8759

Q: [2х 81 2) For what values of (x) does the matrix : 1 a)singular b) non-singular

A: Given matrix is  A=2x81x Now,  A=2x81x=2x2-8=2x2-4 So, A is singular when A=0 which occurs when x2-4…

Q: 3) Consider the following matrix: A= 020 100 0 4 1 - 1 - 1 (i) Compute A™ ¹. (ii) Write A as a…

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Q: 5 a 1 28 6 2 Find all a and 3 > 0 so that the matrix B = is 2 a diagonally dominant;

A: Consider a square matrix . Then the matrix is said to be diagonally dominant if it satisfies the…

Q: A = 2 - 4 4 -2 6-9 7 -3 -1 -10 18 -7

A: Sol

Q: add new column [0;0;0] to the matrix a[12 3, 45 6 ,7 8 9]. * Your answer

A: We have to add column [0;0;0] to the matrix a[1 2 3;4 5 6;7 8 9]

Q: Consider the square matrix below: 2 -4 A = 3 2 O -2 Use Doolittle's method, expressed the given…

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Q: Solve the matrix equation AX = B for X. A = X= 15 65 18 B= - 10 - 15

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Q: How to make this matrix diagonally dominant?

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Q: Consider the matrix A = Calculate a22 = 8 5 d n -( :-(29 766 b f 468 h с Calculate 932 = a e

A: It is provided that: A=852766468·dngbfahce. We need to calculate a22, a32.

Q: GIVEN THE EQUATION 1 の 15 31 3 0 A 3. 6 ニ WRITE A-' AS A PRODUCT OF ELEMENTARY MATRICES

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Q: 3.) Find the inverse matrix? 2 Use the adjugate of A = 0 -2 1 to find A-1 | 1 0 0 - 2 3.

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Q: Given the matrices A and B, solve for X. 18) 3X - B= A. 5 -2 3 and B= -1 -1 A = -4

A: 3X-B=A

Q: 1. Find A¹ using elementary row operation to the augmented matrix Let A = -2 2 10 0 0 4 2 -6 -12

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Q: Diagonalize the matrix 4. -3 A = 3 -1 1 -2 3 2 by finding a nonsingular matrix S and a diagonal…

A: Given: A=4-3-33-2-3-112To find the characteristic polynomial :…