Consider matrix A. -3 A = 5 2 8 -1 3 What matrix results from the elementary row operations represented by -3R, +4R,? Enter your answer by filling in the boxes. 88]

Q: The reduced row echelon form of the matrix A is I3 . Describe all possible matrices A.

A: Consider the reduced row echelon form of a matrix A is I3. We need to determine all possible…

Q: 6. Find the inverse of the matrix if it exists by using elementary row operation, 2 4 1 -1 1 -1

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Q: Find the characteristic equation of the matrix by inspection. 4 2] -6 0 0 6 0 0 5] 4 -9 LO

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Q: Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form?

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Q: Perform the elementary row operation -2R, +R,→R, on the given matrix. 1 2 3 0 -6 -2 Resulting…

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Q: A square northwest matrix B is zero in the southeast comer, below the antidiagonal that connects (1,…

A: It's a very conceptual question and will need lots of grey matter. Please read the question…

Q: Find the LU-factorization of following matrix. 1 2 3 8 14 2 6 13 4 A =

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Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4 A= 12 2 -0 12 8 4,

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Q: Factorize the matrix into LU decomposition. [0 5 41 A = 5 1 2 1 2 3.

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Q: Show that matrix A 5 1 0 5 cannot be diagonalized by using (λI-A)

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Q: 6. Find the inverse of the matrix if it exists by using elementary row operation, 2 4 1 A--1 1 -1 4

A: Given: A=241-11-1140 Since, A=IA where I is a 3×3 identity matrix. Therefore, we have:…

Q: Determine the dimension of the matrix. -3 7 15 0 5 0 3 3 4 1 67

A: It is required to find the dimensions of the given matrices.

Q: find an LU factorization of the given matrix.

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Q: Compute the indicated power of the matrix.

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Q: Use the specified row transformation to change the matrix. 4 2 12 8 -3 times row 1 added to row 2…

A: The given matrix is: A=42128 According to the question, we need to do the row transformation as…

Q: What is the rank of the matrix?

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Q: 2. Consider the 6 x 8 matrix [1 3 0 0 0 0 1 0 2 0 5 -3 0 0 0 A 0 0 1 4 -7 -9 00 0 0 0 0 0 0 0 0 0 0…

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Q: Find 6×6 matrix a, that satisfies the stated condition. Make your answers as general as possible by…

A: Let the genral 6*6 matrix is given by…

Q: Use the row method or column method (as appropriate) to find the first row of AB. 5 -6 4 -2 2 A 8 4…

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Q: 2 Discuss whether the matrix A 1 2 0 is diagonalizable or not. -3 5 2 ||

A: A matrix is said to diagonalizable if for every eigen value's algebraic multiplicity is equal to its…

Q: Solue the syskm of ezuatoins by matrix メナ3y=7 2メ+y=4

A: 1321xy=74 Let 1321 be A , xy be X and 74 be C   AX = CX =A-1CA-1=1Aadj A A-1=-153525-15

Q: Find the characteristic equation of the matrix by inspection. 2 -5 9 6 -3 0 0 4 0 0 8

A: Given that: 2-5960-30000400008 The characteristics equation is given by the formulas, detA-λI=0

Q: Assume that A is a matrix with three rows. Find the matrix B s trix resulting from A after the given…

A: Given: - A is a matrix with three rows. the given row operations are performed. 5R2+R3⇒R35R1⇒R1 To…

Q: (b) Find the LU factorization of the matrix: 1 -1 A= 3 -4 -2 | 2 -3 -2

A: The given matrix is                                A=1-1-13-4-22-3-2 We have to find the LU…

Q: Here is the augmented matrix: 5 0 2 38 Enter the missing coefficients for the row operations. 2 23 1…

A: Explanation of the solution is given below...

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 - 4 2 - 8 2 - 1 A = 10 8…

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Q: Find the rank of the matrix: 321 3 43 -1 2 2

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Q: Give the row operation used between each augmented matrix. Use R1, R2, ... for Row 1, Row 2,.,…

A: Here we have augmented matrix, we have to find row operations to be applied.

Q: Perform the elementary row operation R, R, on the given matrix. 1 4 ! 2 0 -8 i -12 Resulting matrix:

A: As it is mentioned that we have to perform the row operation on row 2 , just perform it and get the…

Q: Consider the matrix 2 -1 5] -2 We can obtain 1 in the shaded position if we multiply all the numbers…

A: To determine the number by which multiplying in the row shaded position becomes 1.

Q: Use the row method or column method (as appropriate) to find th first row of AB. -5 6 -1 5 5 A = 3 4…

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Q: Give the row operation used between each augmented matrix. Use R1, R2, ... for Row 1, Row 2,..,…

A: In this question, concept of row operation in augmented matrix is used. Augmented Matrix Each row…

Q: If |A |= 4 and A is an 3x 3 matrix. What is | 3B?A² | ? B is a matrix resulted by multiply the…

A: Solution : Given that A = 4 and A is 3×3 matrix.                  We need to find 3B2A-2       Also…

Q: A = 2 - 4 4 -2 6-9 7 -3 -1 -10 18 -7

A: Sol

Q: 2. Find the elementary row operation that transforms the first matrix into the second, and then find…

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Q: (4) Let A be a 3x3 matrix. If |4|= 2 , then |3.4|=,

A: Given that A be a 3*3 matrix and |A|=2. To find the value of |3A|

Q: Identify the elementary operation done in the original matrix to come up with the new row matrix.…

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Q: 6. Find the inverse of the matrix if it exists by using elementary row operation, 2 4 1 -1 1 -1 4

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Q: Find an LU-factorization of the matrix A 2 11 -6 6 4]

A: Given, A=-21-64

Q: 3. 4. Use the indicated row operations to change the matrix. Replace R2 by (- 1 9 - 2 7 5 -9-7 - 2 -…

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Q: Find all a and 3 > 0 so that the matrix B = 23 6 2 is 2 ally dominant:

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Q: Give a 3 x 3 elementary matrix E which will carry out the row operation R + Ry. E = Test that E…

A: The elementary matrix E with the raw operation R1↔R3 is: E=001010100 Because it the matrix obtained…

Q: Use the row method or column method (as appropriate) to find the first column of BA. -5 3 4 and B =…

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Q: 3 (i);- 2

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Q: Use the row method or column method (as appropriate) to find the first column of BA. -6 4 4 -2 2 A =…

A: Given

Q: Find the elementary row operations that trans form the first matrix into the second, and then find…

A: we have to find the row operations

Q: Find the matrix A given that -1 2 (I2 + 2A)–1 4 5 O a. 1/13 2/13] -5/13 O b. [-1/13 5/13] 2 -1 4/13]…

A: The given equation is:…

Q: 3. Consider 3x3 matrix A the 1 A て 1. レ Colculate the adjoint matrix

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Q: Consider matrix A. -3 52 A= 8. -1 3 What matrix results from -8-A?

A: Given that: A=-3528-13

Q: Find an elementary matrix E that corresponds to the row operation of subtracting – 6 times Row 1…

A: Applying elementary row operation on identity matrix I we get the elementary matrix E.Now we find a…