Find an LU-factorization of the matrix. (Your L matrix must be unit diagonal.) [33] 56 0 LU = 188=

Q: Given a matrix A = -2 Find the matrix B if 2B - 312 = A. %3D

A: Given: A= 50-21 Now lets assume B=abcd

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: Verify that BC=CB.

A: Given matrices:

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 power of A for the matrix A = A12

A: A=100000100000-100000-1000001now…

Q: -2 k For the matrix A = if JA| = 0, what is the value of k? %3D 2 3 A. 5 B. C. D. -5 123

A: We will find out the required value.

Q: Do the columns of the matrix span R ? -9 Select an Answer 1. A = -1 -2 -1 1 1 -2 7 Select an Answer…

A: Columns of the matrix spans R3 if and only if the columns of the matrix have 3 linearly independent…

Q: Find the size of the matrix. Determine if it is a square, Colum, or row matrix. [ 7  0] [7   7]…

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Q: 2) -64 3 7 5

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Q: The matrix A =1 −1 1 −1 has the property that A2 = O. Is it possible for a nonzero symmetric 2 × 2…

A: Given, The matrix                  has the property that A2 = 0.

Q: What is the rank of the matrix?

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Q: Find the transpose of the matrix. 6 8 4 -4 -8 7 -3 3 90 The transpose of the matrix is

A: # Given : matrix with row=2 and column=5  then write the transpose of  matrix ??

Q: The characteristic equation of the matrix is p(2) = 22 - 6 2 + 13 =0. Select one: O True

A: Solve the given problem.

Q: What is the rank of the matrix?

A: Given,

Q: What is the resulting matrix? ( 9 34 13 ) * ( 7 -3 3 )T

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Q: 2 -2 A -9 hat is, write A = LU where L is a lower triangular matrix with ones on the diagonal, and U…

A: I have solved by using Gaussian Eliminations method

Q: 9. A = -2 2

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Q: -2 2 Find the QR-factorization of the matrix A = 1

A: We have to find QR factorization of given matrix.

Q: The matrix x = [1:5,8 9] has three .columns True

A: 1. Given matrix is x = 1:5, 8, 9 = [1 2 3 4 5 8 9] Here we can see columns are 7 Hence Answer: False…

Q: Find the value of the matrix A8-5A7+7A6-3A5+A4+8A2-2A+I

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4. -8 8 -4 A = 16 - 29 28 -…

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Q: 1. 0. what, is the value of |A|? For the matrix A = 2 13 %3D 63

A: We have to find the value of A for the matrix: A=1-24206373 We know the determinant of matrix, If…

Q: Given the matrix m M A. What value of m makes a factorization M = QAQ" possible? Justify your…

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Q: Find the value of c that makes matrix A= defective Select one: a. 0 b. 2 С. -2 d. 1

A: To find the value of c that makes matrix A defective.

Q: (A) Determine matrix X, where (AB-31X= B and I: unit matrix A=[3 -2 5 and B=[1 6 4]

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Q: How many pivot columns must a 6×5 matrix have if its columns are linearly​ independent? Justify your…

A: Let A be a matrix of 6×5. Also, it is given that the columns are linearly independent.

Q: Find an LU factorization of the matrix A (with L unit lower triangular). -3 3 A = 3 - 3 6 15 18 L =…

A: Topic = Matrix

Q: What is the minor of the element 5 in the matrix below? C 154 2 36 794

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 2 4 - 2 - 2 - 2 -6 A = 4 4…

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Q: Express the column matrix b as a linear combination of the celumns of 4. (Use A, A» an A = b =

A: We will use three colums of A as A1, A2, A3 and then solve it in step 2.

Q: Given the matrix A = find A3. Write A³ as a11 a12 A = a21 a22 input your answer below: a11 = a12 =…

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 8 A = 16 30

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Q: What is the additive inverse of the matrix?

A: Consider the matrix, -4-358-84 observe that the matrix has 2 rows and 3 columns, so the size of the…

Q: Given A = and B %3D Find the matrix represented by: (iii) 3(2B – 4A) (iv) A + 3AT

A: The given matrices are A=1432 and B=-13-25. (iii) Evaluate 3(2B-4A) as follows.…

Q: (a) If 4-[a] is a 3x3 matrix; such that a -i (4-7), find the values of diagonal elements and the…

A: What is Matrix: If we arrange some elements, may be number or alphabets in rectangular array, the…

Q: Diagonalize the matrix, if possible -1 4 -2 A = -3 4 1 = 1, 2, 3 -3 1 3 Upload an image or PDF of…

A: matrix has no repeated eigen value (have 3 district eigen values) so it is diagonalizable. we will…

Q: Diagonalize the matrix, if possible -1 4 -2 A =| -3 4 2 = 1, 2, 3 -3 1 3

A: We have to solve given problem:

Q: What are the dimensions of the matrix below? -8 -2 -4-9 4 4.

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Q: Perform the row operation on the given augmented matrix. 11 -6-7 5 7 1 5R, + R2 6 4 6. What is the…

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Q: b) Diagonalize the following matrix, if possible 2 2 -1] 3 -1 -1 -2 1 2

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Q: e reduced row echelon form of the matrix B.

A: In this question, the concept of row reduced echelon form is applied. Reduced Row Echelon Form When…

Q: Diagonalize the matrix, if possible

A: Given: A=133-3-5-3331 To find: Diagonalize the matrix.

Q: Use the given information to find A. 7 A-1 4 NOTE: Write the elements of the matrix exactly. ? ? A ?

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Q: Use the row method or column method (as appropriate) to find the first column of BA. -3 4 -2 4 A : 4…

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Q: Find the adjoint of square matrix [A] 2 [A] = 3 -4 -2 I5 3 1

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Q: [123 If the matrix A= 4 0 8 then the cofactor C21 ......... 350

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Q: 4 3 -5 -4 -5 7 8 6 6 -8

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Q: Determine if the matrix is symmetric. -7 -3 -3 -5 The transpose of the given matrix is Because this…

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 86 [... 16 8 A =

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