Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 30 1 12 1 1 -3 1 0 LU = 000

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: a 6 8 A = a -4 6 4 -2

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Q: Solve the system of equations using the inverse of the coefficient matrix of the equivalent matrix…

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Q: Diagonalize the following 3x3 matrix. [ {3,3,3},{3,3,3},{3,3,3}]

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Q: Use row reduction to transform the matrix into RREF 3 6 4 -5 3 -7 8 -5 8 3 -9 12 -9 6 15

A: The given matrix is: 03-664-53-78-5893-912-9615 The RREF is a reduced row echelon form of the matrix…

Q: Find the roots or values of x to this matrix equation.

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Q: 3 7 -3 -3] 3. 4 3 Ans. -1 I3 4

A: We need to find the inverse of the matrix 133143134 Let A=133143134 The formula to find the inverse…

Q: he transformed matrix is 0 1-2 (Simplify your answers.)

A: given matrix is :-112017-2then we have to change the first row by adding to it  -12  times the…

Q: Find the transpose of the matrix. 4 5. D = -2 -1 -3

A: The transpose of a matrix can be  found by interchanging its rows into columns or columns into rows.…

Q: find A³. Write A³ as input your answer below: all = 912 = Given the matrix 921 = 922 = ^=[83]. A A³…

A: The given matrix .The objective is to find the matrix .

Q: Find the trace of the matrix 3 A 2 -2 tr(A)

A: The given matrix is A=-332-2. Find the trace of the matrix A as follows.

Q: Diagonalize the following matrix, and then find A¹0. A = 1 6 0 -

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Q: Find an LU and LDU' factorization of the matrix A. A 435 89 5 8 -3 24

A: Given: A=4358958-324 To find: LU factorization of A LDU' factorization of A

Q: Find the transpose of the matrix.

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Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A2, and A3…

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Q: 1 2 (24)-- = G ) (2A)-1 3 4

A: (2A)-1 = 1234taking inverse both side :((2A)-1)-1 = 1234-12A =  1234-1Let B = 12342A = B-1A = 12B-1…

Q: Row reduce the matrix A = 1 0 1 -7 2 0 1 -7 4 2 6 5 -2 -3 -7 - to RREF.

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

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Q: An A12 [ A21 A22. A22 = [-7 7]. Fill in the block matrix. -9 -5 where A11 A12 9 , A21 = [3], and -4…

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Q: Find a 2 x 2 matrix such that -3 21 5 4 - 6 ปี

A: To find a  matrix such that

Q: Type the correct answer In each box. -5 5 10 -20 0 a = b: and d%=

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Q: Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 10 -5 1 LU = ← 11

A: The given matrix is: A=10-51. We have to find the LU-factorization of the given matrix.

Q: In Exercises 5 – 8 compute the given matrix product. 2 -1 3 1 7 §3.5, Exercise 8. 1 5 -2 -1 1 -1 -5…

A: Given that the matrix of 3*3 and 3*2  Then we have to find the product of the two matrices

Q: [3 1 21 2 4 -1 6 0 2 -3 0 -1 0 3 A =

A: The element in the first row, second column of the matrix A is 0. So, we have to find the cofactor…