Find the LU Decomposition of the following matrices. 5 [7 1) A= |2 [4 -1 3 -2 8. 11. -5 2 -91 2) B = |-7 4 | .13 10. [17 5 -8 10 -5 3) С %3 -9- 2 3

Q: compute the indicated matrices C -BT

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Q: 2. Determine the inverse of the matrix. -5 4 -4] 6. A = 1 1 1 -2 -9 3 2 8 -1

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Q: Find the LU factorization of 8. That is, write A = LU where L is a lower triangular matrix with ones…

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Q: 4. Consider the matrix 1 0 0 0 0 0 -2a -a (a² + a) 0 (2-a²) - (2-a²) -2a (2-a²) 2+ 4a - a² Find all…

A: 4) Solution:According to the given data, find the all values of a for which given matrix is psd.

Q: Find the following matrix product, if possible.  [-9 1 -9]  [-1] [5  -8  0]   [8]…

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Q: Which of the following matrices is equal to 2 1 -1 3 ³ [²₂²] + ² [¯ 2² _ ;]³² ? 03 -7 4 1 1 2 -4 4 4…

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Q: x- y+10z = 29 x+ y+2=6

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Q: 4]         [8   7]      [7   2]             +               - [-4  6]         [8   8]      [3   4]…

A: Given expression is: 14−46+8788−7234

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: 2 (²). 4 -2 -1 5 3 ). Compute all the valid products between these three matrices. E: Let A = B = 3…

A: A=2-34, B=3-201-14553, C=403 To Do:Compute the valid products between the given matrices.

Q: A) find C= A.B for the following matrices 7 3] ;B B = 2 A = 24 3 1

A: To answer the given question we shall use the product rule of matrices. The given matrices are…

Q: Find matrix such that 5 3 -1] X+ 2 -3 1

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Q: eness of the following 3 (a) A = 3 -1 -4 -1 1 -1 6 0 -2 -1 (b) В %— -2

A: RULES: The pivot elements of a symmetric matrix A are the eigenvalues of the matrix A. A is…

Q: Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all…

A: We will find the required.

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

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Q: compute the indicated matrices A + 2D

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Q: Given that -1 2 -2 1 0 -2 A= 1 and C= -3 2 1 1 -1 3

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Q: 4 -1 If A = 3 3 and B = -3 find 1 -1 -2 A ·B, if possible.

A: For the multiplication , the number of column of first matrix must equal to the number of row of…

Q: 3 2 . B = 3 and C =-1 For the Matrices A= 1 4 Find: (AT.B)+ 2 C

A: Given that, We have to find, Then we get, AT=1-32140…

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

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Q: 1. Find the inverse of each matrix using the adjoint matrix. (2 1 5) b) B = 3 0 1 1 2 1 (2 -5 -3 a)…

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Q: 1. Multiply the following matrices; if you can't multiply the matrices, then explain why. 2 -3 1 1 3…

A: This question is related to matrix multiplication, we will solve it using given information.

Q: [2 -3 -47 The matrix product 2 4 [0 1 5 1

A: Given : 2-3-4015 . 3-12401

Q: <= [-5 1 is the product X = E₁ E₂E3 of elementary matrices E₁, E2, E3, find -5 35 E₁ = If x= 03-894…

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Q: -3 29 17 -3 -2 x-24 8-17] 1--15 23 12 2--16 0 Y = Z 9 -5 -2 12 9 -1 9 W=-11 15 = 8 -20 ID H YTOV >>>…

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Q: compute the indicated matrices B -C

A: To compute the indicated matrices B – C Given information:

Q: (A8)", (^)*, * (21)*". Use the inverse matrices to find and 1 3 1 4 2. 4 2 A-1 = 1 1 B-1 2 4 2 4 3 1…

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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 =…

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Q: What is the characteristic equation of the matrix  (10     -5)  (3      -2)

A: Given matrix is 10-53-2

Q: -3 4 B = -1 | %3D 4 | 0 4 3. C = -2 5 1 D = 4 -2 0 1 Using the above matrices find DB

A: Given matrices are

Q: 1. For the given matrices A find A-¹ if it exists and verify that AA-¹ = A-¹A=I. If A-¹ does not…

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Q: Find A-E and the elements from the matrices

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Q: Determine whether or not the following sets Sof 2 x 2 matrices are linearly independent. Select an…

A: Note: As multiple questions have been asked, so only first question 1 has been solved according to…

Q: 5. ( 4 0 -2) D= -2 1 -2 5 A= B = (-1 4 3) 3 3 (1 -' H= (3 3 2 E= 5 0 -1 4 -1 G= -2 5 F = (3 -2)…

A: Given-  A = 51          B = -143         C = -2532        D = 40-2-211134E = 33250-1      F = 3-2…

Q: Q5: Write the following as a product of elementary matrices. 8 00 1 1 -2 (а) |0 -3 1 0] 0 2 0 5 0 20…

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

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Q: Q1/ If 1 4 -3' -3 8Y 2 -3 -6,B = 1 1 and C = 2 11 -2 6. -3 are three matrices find |D"| where D = A?…

A: The given matrices are: A=1042-3-6902 ;       B=30-30111-26    and     C=0-38021-301

Q: Q4. (A)_ If a-12 4 68 10; 31415; 24 6 8 10; 1 234 5; 4790 61. find the sub matrices with explain it.…

A: Remark:  Let a be an m*n matrix, then a(:, p) gives  sub-matrix of order m*1 with elements of p-th…

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…