Determine whether the following matrices are in echelon form, reduced echelon form or not in echelon form. -8 1 1 0 a. Echelon Form 0 1 -3 0 0 00 -5 9 1 1 b. Not in Echelon Form 166 0 0 1 7 c. Echelon Form 010 001-5, }] 103 0 000 0 d. Not in Echelon Form 010 001 0

Q: (15) 4. Add the matrices + 25 4 3

A: We have to do matrices

Q: list 2 matrices that commute with all n x n matrices

A: Scalar matrix is the only matrix which commute with all matrices   Let A=kI is a scalar matrix ,…

Q: Let A₁, A2, and A3 be matrices such that det (A₁) = -3, det (A₂): det (A₁ A2 A3) = Number = 4, and…

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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: b. -2x+y+6z=18 5x+8 z=-16 3x+2y=10z-3 Write the entries in the inverse matrix as fractions.

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

A: This problem is related to the vector algebra. The problem is solved in the following image.

Q: Define Positive Definite Matrices.

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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: /1 3 21 2 1 1 A = 4 03/ -(² 7 1 -1 -1 Find the matrix A. 1 3 03 -3 7

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Q: 8. (3pts) Let A and B be arbitrary n x n matrices. Multiply (A – B)(A+ B).

A: As we know that (A-B)(A+B) = AA+AB-BA-BB=A2+AB-BA-B2here AB need not to be equal to the BA. Because…

Q: 1 2 A= -2 4 -2 4 3 5 -1 5 4 3 3 7 6 6

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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: 6. Compute the product of the following matrices 6 5 - 4 -3 7 6 2 -3)

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Q: 12. Suppose the sequence ao, aj, a2, a3, ... is defined as follows: ao = 0, aj = 1, and for n > 2,…

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Q: How do we add and subtract matrices and when are these operations defined?

A: Addition and subtraction of matrices If A=[aij] and B=[bij] are two matrices of the same order, say…

Q: 1 2 Let (A – 21)-1=| 3 4 where / is the identity matrix,then A = Select one: а. 0 3 7 3 2 2 b. 1 3 3…

A: A-2I-1=1234 Taking Inverse both sides, we get…

Q: For each of the matrices below, determine whether it is RREF. • If yes, copy the matrix on the…

A: A matrix is in RREF if it meets all of the following conditions: If there is a row where every…

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: Find A-E and the elements from the matrices

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Q: What is the term matrices

A: Matrices :- A matrix is an ordered rectangular array of numbers or functions. The numbers or…

Q: Determine 3B  if the matrix is    1        5                                                   -4…

A: the matrix B is 15-48 we have to find the value of 3B.   as we know that if we have a matrix A as…

Q: 7-10, find A7, ATA, and AAT. 1 7 1 뎌 2 - 3 1 2 3 2 9 비 10 [1 -2 -3]

A: The transpose of a matrix is the matrix obtained by  interchanging the rows and columns.

Q: Perform the indicated matrix operation A(B + C) given that A, B, and C are defined as shown…

A: Consider the matrix A=4−30  051,  B=51−2−2     C=1−1−11