Use the reduced echelon form of the matrix A shown below to find the factorization A = CR. 1 2 0 11 0011 0 0 0 0 A = A= -5 - 10 8 3 2 4 31 -4 -8 7 3 ~ X

Q: 1. Calculate exp(A) where A is the 2×2 matrix given by A 7 -2 -[33] = 5 5

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Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

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

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Q: Find a 2 by 2 matrix that reflects the point (x,y) abot the x axis?

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Q: Let A =  -2 1     0 3     and    B =  2 -3     1 −2. Find a matrix X satisfying the matrix…

A: The given matrices, A=-2103 and B=2-31-2 We have to find the matrix X, that satisfies 2A+X=3B

Q: Let A be the matrix Compute A50

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Q: Matrix  A = a11 a12 a21 a22 a31 a32 B =  b1 b2 C = c1 c2 c3     Find C*A. Find C*B.

A: The product of matrices is given as follows

Q: (b) How many routes are there from node 1 to node 3 using at most two edges? List these routes. (c)…

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Q: Consider the matrix A= Calculate a31 Calculate 932 755 826 5 2 6 e 9 dh n bf a

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Q: 9. Do the columns of the matrix A = 7. span R

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Q: Express the matrix A = as the product of elementary matrices. 1 2 2 10 2 31

A: Elementary square matrix :- A square matrix of order n is said to be an elementary square matrix if…

Q: 9. A = -2 2

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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: * ( For the matrix shown find (- 3 A 3 - 1 4 1 A = %3D 1 1 6.

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Q: 32x+y -1 526 -1 x+4y 10

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Q: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

Q: Find A-5B. -7 9-4 6 - 6 B = 3 -4 -9 A= 3 -7 12 15 -10 A-5B% D 11 3. (Type an integer or decimal for…

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Q: Decide whether the matrix -7 1 4 A = -12 1 8 -10 1 7, is diagonalizable over R. If it is,…

A: -714-1218-1017

Q: Find the size of the matrix 0.

A: Count the number of rows and columns

Q: Find the transpose of the resulting matrix: -100 A = 2 3 4 x 5 2 5-4

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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 the matrix A if 4 1     −1 3A =  3 4     1 2. A =

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Q: The rank of the matrix A Number 1 2 3 4 5 6 IS

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Q: Q3A. Compute b11 for the inverse matrix B-¹. B O - 2 -5 2 -6 -3 12/07 -1 1 3 12/07

A: B-1 can be calculated by calculating determinant of a matrix and then dividing adjoint of the matrix…

Q: add new column [0;0;0] to the matrix a[12 3, 45 6 ,7 8 9]. * Your answer

A: We have to add column [0;0;0] to the matrix a[1 2 3;4 5 6;7 8 9]

Q: Identify a matrix P that diagonalizes 2 6 A = a. 1 P = - 2 Ob. P = -1 0 0 2 Oc. P = 01 1 2 O d. -2 P…

A: Solution

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

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Q: If D = diag(2, -1, 0) and M is a 3 x 3 matrix, describe how the rows and/or columns of DM are…

A: Given thatdiag and M is 3×3 matrixWe have to describe how the rows and/or columns of DM related to…

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: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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Q: (A" – 21) * - | ) 3. Determine the matrix A if

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Q: Consider the matrix A = Calculate a22 = 8 5 d n -( :-(29 766 b f 468 h с Calculate 932 = a e

A: It is provided that: A=852766468·dngbfahce. We need to calculate a22, a32.

Q: Q24A. Identify the number of rows in matrix A. A = 8 -10 9 4 6 3 -3 -1 7 3 8 -2

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Q: lue of x, if the g 5 10 is singula

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