For this problem enter matrices using bracket notation. So the matrix 2 3 -1] 7] would be entered as [[2,3,-1],[-2,-5,6]]. -2 -5 6 Find an LDU factorization for 3 -12] [10] [3 = [15 -56] - [ 18-13] 5 4 L D U =

Q: Find the LU-factorization of A = 2 1 -4 3 3 6 8-3

A: Given :A=21-1-43368-3

Q: If the matrix ? = [ 2 3 −1 2 ], show that ? 2 − 4? + 7? = 0.

A: From the given problem:   A=23-12   So the characteristics equation is:   A-λI=0

Q: 1 12+10 -40 j -3j-5 2 - 2 - 7 - 1 2j 4j + 2 4 X - 10 13 -5 18 -9 -15 -5 -5-j 10-2j

A:

Q: Simplify the following matrix expression: 0 2 0 -2 -1 1 -1 -3 5 1 10 -3 -4 4 5 -2 1

A: To determine:

Q: What 3 by 3 matrix E21 subtracts 4 times row 1 from row 2? What matrix P32 exchanges row 2 and row…

A:

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 – 4x1x2 - 2 x1X3 + 6 x2x3 2 2 -1 2 -2 1 (a)…

A: We have to find Matrix of the given Quadratic form.

Q: Demonstrate how to find the LU factorizing for A

A: Given that, A=3-7-2-3516-40 We need to find the LU factorization of matrix A.

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: Given the matrices below, find B- 2A [2 A= 4 -5 -5 -4 - c-[;} »-G } -[] Choices: -5 -7 6 -3 5 [13 -5…

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Q: how do you write (14)(27)(523)(34)(1472) as a product of disjoint cycles

A:

Q: Find the inverse of the matrix The inverse is A = 2 0 -6 -37 -1 -2 -8 7 - --888 =

A:

Q: 1 -5 0 0 | -2 1 0 0 7 5 | -5 0 1 0 | 3 j. 0 1 -4 -3 2 0 | 7 0 0 1 6 -2 | 4 0 0 0 | 1 0 0 6 | -5 1 -5…

A:

Q: If possible, compute the following. If an answer does not exist, enter DNE. (A+B) + C = + A+ (B+ C)…

A: We have to solve the addition form of Matrix.

Q: Q3 a) Solve the following: 25x+2 = 53x-4 b) Given matrices, A = (3¹),B=(₁-2) and C = (8), find i.…

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Q: Consider the matrix 2 -1 5] -2 We can obtain 1 in the shaded position if we multiply all the numbers…

A: To determine the number by which multiplying in the row shaded position becomes 1.

Q: What is the determinant of -2 ? -4

A: Given,         A= 1-23-4

Q: SHOW COMPLETE AND CORRECT SOLUTIONS IN ANSWERING THE FOLLOWING PROBLEMS. 3 4 5 2 -2 (1 2 -6 2 ).…

A:

Q: and x + x²? (a) 3+x²+2x¹ (b) 2 + x − 3x² + x³ (c) 2+x+x³ (d) 3+x-2x² + 3x³ 4. The space of 4-by-4…

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Q: [2 2 Give two different matrices B so that in each case B 2 2

A: Given matrix

Q: Q8: Given that -2 X = 1 8 -8 -9 -9,Z -7 7 -2. -8 5 what is the matrix 3X + Y – 3Z?

A:

Q: [-3 10] 14 B = 10 [5 -2 17 -1] C = A =-5 2 D=[-11 8 -5] -8 3 -4 2 14 -6 -8

A:

Q: Q2: Find the inverse of the matrix -18 M -7

A:

Q: Add the following matrices. 3 -4 1 1 2 -4 -2 |+|-4 1 -1 -2 -4 -5 3 -5 2

A: We have to add

Q: Find an LU -9 -9 0 2 -45 -63 72 62 L U = factorization for -8 -8 8 8 -104 -111 56 36

A:

Q: Use the

A: we have; 3x1-2x2+4x3=213x1+4x2-2x3=92x1-x2-x3=10

Q: ithout doing any row operations, explain in a short sentence why [137 0506 0028 0 10 A= 1 2 2 31 3…

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Q: Find the following matrix product, if possible.  [-3  -4  1]  [-1] [-8  0  4]    [-5]…

A: Matrix multiplication: If the number of columns in A equals the number of rows in B, the product of…

Q: 01: Solve the following equations using matrices: x1 - 2x2 + 3x4 = 2 2x1 + 2x2 + x3 + 6x4 = 4 -x1 –…

A: We have to find out the solution of given linear equations

Q: Find the matrix product AB, if it is defined. -13 A = = ^-[-22] -B- (-:22] I -16 -64 6-1 4-6 2-6 1…

A: Given query is to find the product of the matrix.

Q: A single row operation was performed on the matrix on the left to produce the matrix on the right.…

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Q: Use the matrices 10 -14r -11 -15q 14z 12 2y A = and B = -4 -2 -10 11w 4. -9 to compute the indicated…

A: