Reduce the following matrices to row echelon form and row reduced echelon forms: 1 p -1 -1 7 (i) 2 1 7 (ii) 2 1 -5 3 - -3 3 2 1 3 2 Find also the ranks of these matrices.

Q: The following matrix is in row echelon form Select one: 1 42 a. 01 3 0 0 1 2 4 6 035 0 0 4 b. 0 0 C.…

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Q: How many "same" types of 1 by 3 matrices in reduced row-echelon form are there? (a) 2 (b) 3 (c) 4…

A: The general form of 1 by 3 matrix is, abc

Q: Let A and B be row equivalent matrices, and suppose that B can be obtained from A by using only row…

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Q: Determine which of the following matrices have the same row space: 1 -1 C = |2 -1 1 3 1 -2 1 -1 2 A…

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Q: Perform the following matrix row operation and write the new matrix. 4 -20 -12 24 1 R, 0 -7=1 1 2.

A: Consider the matrix- 4-20-1224215010-7-1

Q: -3 -2 1 -2 1 3 -2 1 -2 -1 1

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Q: Convert the following matrices into its Row Echelon Form (REF) and Reduced Row Echelon Form (RREF).…

A: Given matrix(1)…

Q: show that the given matrices are row equivalent and find a sequence of elementary row operations…

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Q: Reduce the following matrix to row canonical form? 1 4 8. 0 - 2 -3 2 00

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Q: Determine the matrix C = A + 3B if 12 -8 15 2 -1 1 A =-8 7 10 B =-1 4 6. | 15 10 - 5 1 6 3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 3. Find the inverse of the following matrices (if it exist): (by elementary row operations) [2 b) B…

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Q: Reduce the ff. matrices to its reduced row echelon form. 3 -2 4 -3 8 2 1 -7 4 1. A = 2 1 1 02 -3 1

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Determine which of the following matrices have the same row space: 1 3 -2 -1 10 -4 5 2 3 3 -5

A: We will use matrix formula to find solution to the problem .

Q: A and B are 8 × 2 matrices, and C is a 6 x 8 matrix, which of the following are defined? Note you…

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Q: 1 1 2 A = 0 1 2 3 12 1 2 3 B 4 3 6 5 5 10

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Q: Given the following matrices, Find A-B: * (4 8 B : ), c=G; (1 2 3Y ) ,I:2 x 2 matrix \4 5 -3 -3 -2 5…

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Q: Find the reduced row echelon form of the following matrices: 2 10 1 3 3 2 2 A = -2 1 -9 B = 3 C = -5…

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Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices.

A: Row echelon form: 1) All zero rows are at the bottom of the matrix. 2) The leading entry of each non…

Q: If A is a 5 x 5 matrix, B is a 2 x 5 matrix, and C is a 3 × 2 matrix, which of the following matrix…

A: 1. A set of numbers arranged in rows and columns so as to form a rectangular array is said to be a…

Q: Determine the ranks of the following matrices. 3 1 4 (a) -3 0 -1 5 2 7 -2 4 8 (b) 4 -1 2 8 -2 4 1 2…

A: We have to solve given problem:

Q: 3. If A and B are 3 x 3 matrices and JA| = -3 and |B| = 2, find: %3D 1 1243 A A?…

A: Using result, If A and B are square matrices of the same size, then det(AB) = det(A) det(B). If A…

Q: Find the product of the following two matrices. 3 -3 4 2 1

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Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 1 -6…

A: We are asked to find which is row-echelon Form.

Q: 4. Are the following matrices in Row Reduced Echelon Form (RREF)? If the matrix is not in RREF, what…

A: Nonzero ( row / column ) : A nonzero row or column in a matrix means a row or column that contains…

Q: Two matrices, C and D can be substracted if. a. size of matrices are same O b. their rows are same O…

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Q: Perform the indicated matrix row operation and write the new matrix. 1 -4 5 10 -6R + R 4-3. 6. -1 2…

A: A matrix is set of numbers arranged in rows and columns. The order of a matrix is defined as number…

Q: Find the rank of the following matrix 2 6 2 -4 -6 2 8 A = -2 -8 -8 -14 -6 6 16 2 -14 -16

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Q: Which of the following matrices corresponds to the elementary row operation 3R1 + R2 → R2 on.a 3 x 3…

A: We have to perform given operation

Q: Find the product of the following matrices, if possible. 9. 6. 3 3 - 1 - 4

A: In the first matrix there are 2 rows and 2 column. And in the second matrix there are 2 row and 1…

Q: If A and B are nXn matrices, then (A-B) =A-2AB+B Select one:

A: A-B2=A-BA-B=A2-AB-BA+B2

Q: Reduce the following matrices to row echelon form and row reduced echelon forms: [1 (i) 2 -1 -1 7 2…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: suppose you are given the following Matrix 1 -5 A = -4 -6 -7 -7 9 9 -2 4 -3 2) find the dimensiou of…

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Q: Find the product of the following matrices, if possble - 5 -6 6. 4 -8 -3 -9

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Q: If A and B are 2 x 8 matrices, and C is a 9 × 2 matrix, which of the following are defined? А. А C…

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Q: Find the row and column ranks of the following matrix 1 3 2 1 2 -5 1 2 0. 1 -2 1 1 -2 2 2- 3 2 1 5 8…

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Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 1 0 0…

A: The objective is to find the matrix in row echelon form: By the definition for row echelon matrix:…

Q: Which of the following row operations on a matrix may not be an elementary operation, Replace one…

A: We want to find the operation which is not elementary.

Q: If A=2B where A and Bare square matrices of order 3x3, and det (B)=5, what is det(A)? Select one: a.…

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Q: Given that A and B are two 3 x 3 matrices, det(A) = -2, det(B) = 3, find the following (do not round…

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Q: Find ∣A∣, ∣B∣, and ∣AB∣ for the matrices

A: given: A=1-22032101 B=2010-1-231-2

Q: The following matrix is in row echelon form Select one: 0 1 a. 1. 0. 1. 4 2 1 3 0 1 0. b. 0. 0. C. 2…

A: We have to find which matrix is in row echlon form out of given matrices.

Q: Given the following 2x3 matrices:- [9 1 0 A= 1 8 -1 4 1 12 3 3 -1 10 2 Find the matrix 2A-3B+c

A: Let the matrix, X, be defined as X=abcd . If the matrix, X, is multiplied by a constant, k, then the…

Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 1 -6…

A: The solution is given in step 2 and 3.

Q: How many "same" types of 2 by 3 matrices in reduced row-echelon form are there? (a) 2 (b) 7 (c) 4…

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Q: Perform the following matrix row operation and write the new matrix. 2 6 10 -8 1 4 6 -6 -7 0 - 1 -4

A: In a matrix a1a2a3b1b2b3c1c2c3d1d2d3 performing row operation 1kR1, k≠0, the resultant matrix will…

Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 1 0…

A: A matrix is called a row-echelon form if  The first non zero number from the left is always to the…