Use an inverse matrix to solve each system of linear equations. (a) X1 + X2 - 2x3 = 2x2 + X3 = X1 - X1 - X2 - X3 -1 (X1, X2, X3) = (b) X1 + X2 — 2х3 2x2 + X3 = = -4 X1 X1 - X2 - X3 8 (X1, X2, X3) = %3D

Q: Use the Gauss-Jordan elimination method to find the inverse matrix of the matrix 1 -5 1 -2 . Choose…

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Q: Diagonalize the matrix -9-61 A = - 12 9 by writing it as A = PDP-1 P = D =

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Q: Compute each matrix expression and show your work, if 2 1 - -1 2-2 A= 0 3 1 B = 30 5 -42 0 4 1 3. -…

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Q: Write it in five step augmented matrix  -9x-5y=7 -6x-6y=2

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Q: solve by finding an inverse matrix 2x+y=6 x+2y+z=12 x-y-z=-5

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Q: Solve using a matrix x - y + 5z = 194x + z = 3x + 3y + z = -9

A: According to the given information it is required to solve the given equations using matrix method.

Q: X1 — 5х, + 2х; - 20 - —Зx1 + х2 — Хз %3D 8 — 2х2 + 5хз -16.

A: Given system of linear equation is x1−5x2+2x3=−20−3x1+x2−x3=8−2x2+5x3=−16..........1 Write the given…

Q: Solve using a matrix 4x + 6y = -182x - 4y = 12

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Q: Given A = 1 0 0 -3 1 1 1 - 2 -1 " x = and b = 300 150 400

A: Given that the system Ax=bHere A=1-3101-201-1 , b=300150400

Q: Answer is supposed to be in the form of a 4x4 matrix

A: Ans- Given the input-output table involving four sectors of U.S economy in the year of 1977. To…

Q: Why did you write the number of columns of A as 3 when the matrix has only 2 columns

A: Let given matrix is Using RANK-NULLITY theorem, we haveRANK(A)+NULLITY (A)=number of columns in…

Q: Find the augmented matrix of the linear system. Зx, + 2х2 - X3 = 1 + X3 = 0 5x3 = 0 X1 -X1 + 2x2 3 1…

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Q: State the next elementary row operation that should be performed in order to put the matrix into…

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Q: Give an example of a 3 × 3 matrix with real inputs that is not similar to a matrix diagonal

A: A matrix is said to be a diagonalisable  if it is similar to a diagonal matrix. Therefore we need to…

Q: = [2 1 3 -1 -1 -1 2

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Q: -2 5 1 -2 4 1 -3 6 2 x1 X2 X3

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Q: Find the inverse matrix of [2 1 -1

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