2. Find the LU factorization of the following matrices without pivoting 1 2 3 a) A = 2 5 4 354 1 -1 1-1 -1 3 -3 3 b) A= 2 -4 7 -7 -3 7 -10 14 ا

Q: Multiply matrix [1 2 3] by [5 4 2 030

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Q: Suppose A, B and C are 2 × 2 matrices with det(A) = 3, det(B) = -2, and det(C) = 2. Find…

A: NOTE: Refresh your page if you can't see any equations. . properties of a determinant are where…

Q: Find the LU factorization of the matrix: A = 1 2 0 -1 -1 3 4]. 3 -2 -8 2 Show all the steps of your…

A: Answer is given in below stepsExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Describe all 2 by 3 matrices A1 and A2 , with row echelon forms R1 and R2 , such that R1 + R2 is the…

A: Given: 2×3 matrices A1 and A2 with row echelon form R1 and R2.We need to show that R1+R2 is the row…

Q: Find the following matrix product. Be careful to distinguish 2 × 2 matrices in the answers from 2 x…

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Q: Find 2 × 2 matrices A and B such that т 6 ]A+[, -1 JA+I 5 -5 ]B = [ 4 -6. ] and -2 -1 4 0 -2 -4 3 -4…

A: Given: The equations  06-1-1A+5-534B=4-60-2T0-211A+-4-8-3-6B=3-47-3T

Q: Find the Inverse of Matrix A 6) -3 20 11 A = -6 15 32 3 -12 -19 A = %3D

A: Given A=-32011-615323-12-19

Q: -4 -2 (1 point) If A = 1 2 - 3 and B -2 1 4 then -4 1 4 -3 -4 4 AB = and ВА — Choose v True or…

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Q: Find the LU factorization of the following matrices without pivoting 1 2 3 a) A=2 5 4 354 1 -1 1 -1…

A: We have to find the LU factorization of the matrix. L is the lower triangular matrix  U is the upper…

Q: Find matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Express the matrix = [₁,1] - 9 and its inverse as a product of two elementary matrices. A =

A:

Q: Verify 2(A+B)= 2A + 2B for the following matrices. 4 B= A= 4 -1 3 -1

A: Find the all values separately one by one and compare

Q: -3 8 -3 and C = (1 4 A = ( 2 -3 -6 B = 1 2 69 2 1 -2 6. -3 1 are three matrices find |D"|where D =…

A:

Q: Let A and B be the following matrices. Perform the following operations: A. B = B. A = -37 67 28 -26…

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Q: Which of the following matrices are guaranteed to equal (A - B)2 : A2 - B2 , (B - A)2 , A2 - 2AB +…

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Q: Determine 3B  if the matrix is    1        5                                                   -4…

A: the matrix B is 15-48 we have to find the value of 3B.   as we know that if we have a matrix A as…

Q: 11 4 -1 0 1 -1 2 4 5 6 3 4 0 -4 3 6 3 -7 5 1 -1 6 7 3 -3 -1 -5 2

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Q: 2 (1 2 3 B =25 3 108 C = 2 -1 0 -4

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Q: Formula valid for matrices? explain why? (A + B)(A - B) = A²B²

A:

Q: nd the following matrix pro0

A: Given: -15-8-5-2-6-6-62

Q: Consider the matrix product: 2 3. -3 -1 -2 1 H = -2 -1 1 -3 2 -1 0 %3D 0 2 -1 -1 1 2

A:

Q: compute the indicated matrices ( I 2 -D)2

A: Matrices: D=0-3-21I2=1001    (I2-D)2 =(1001-0-3-21)2 =13202

Q: Use elementary matrices to find the inverse of 5 3 3 A = |5 4 3 5 3 4

A: Given matrix is A = 533543534