Which matrix in the follows is in echelon form ? 1 2 01 [1 0 1 0 [2 0 2 01 0. A= 00 1 2 0. 1 0 0 0 1 BD 0 0 1 2 C= 0 0 0 1 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 01 10 1 2 E-0 1 0 1 0 11 Г1 2 0. 1 0. D3D 0 0 0 1 1 1 L0 0 0 1 0 0 F= 0 0 0. 2 0 0 0 1 20 0 0 1 2 0 0 0 1. 0 0 1 0 O A B. CO

Q: Given the matrix below and its corresponding rref(A) and rref(A') 1 0 0 0 -2 8 -1 -3 100 0 0 0 10 0…

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Q: [1 1 1] Suppose we have a matrix A= |1 0 1 2 1 2 What is rank of A?

A: GivenA=111101212R2→R2-R1R3→R3-2R1A~1110-100-10R3→R3-R2A~1110-10000We know that The rank of a matrix…

Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. 1 3 A = | 0 -5 -6 0 3 4 0 0 0 0…

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Q: (16) Which of the following is a symmetric matrix? (Select all correct answers) ro 1 21 O1 0 1 l2 0…

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Q: Which of the following is an elementary matrix, E, such that EA= B for 1 %3D 1 0 1 A = 2 2 and B = 1…

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Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. 0 -6 -3 0 0 3 0 -12 -7 0 0 24…

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Q: 1 1 Given that matrix P=|1 0 |0 -1 2 1 , find the matrix A such that -2 0 0 P'AP=| 0 -2 0 0 4

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Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. 10-3 -3 0 2 2 A = 0 0 2 1 1 0…

A: The given matrix A is; 1 0 -3 -3 0 2 2 1 0 0 2 1 0 0 -2 -1.

Q: 23.37 For each of the following symmetric matrices, find an orthogonal matrix which diagonalizes it:…

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Q: 2. Consider the matrices [2 -1 [2 0 D= |1 4 5 4 3 and F= |0 1 1 2 (a) Show that A, B, C, D and F are…

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Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. 3 0 24 24 - 0 4 A = 0. 6. 6. 0…

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Q: Which of the following matrices is NOT symmetric? 1 0 0 0 0 1 0 1 O[ 5 6 7 6 3 2 7 2 1 7 -1 7 3 -1 0…

A: Consider the matrix 010000101 in the first option. For a matrix A to be symmetric, its transpose…

Q: Which of the following matrices is singular? O a. -1 2 3 1 1 1 2 2 b. -1 2 3. 0 1 -1 -1 3 -1 2. O d.…

A: A square matrix is said to be singular if it is non-invertible. To determine if a matrix is…

Q: Which of the following matrices is not in Reduced Row Echelon Form? [1 0 4 31 [1 0 4 01 0 1 5 2 0 1…

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Q: 2 0 Let A = -2 1 -4 and B = 1 Find an 1 -1 1 0 -1 elementary matrix, E such that EA= B. a) 1 0 1 1 1…

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Q: In which of the following reduced augmented matrices is the number of leftmost ones less than the…

A: Calculation:The following observations are made from the given augmented matrices.The matrix A has 3…

Q: Let A =  {(2, 0, 0), (1, 2, −1), (1, 0, 1)}. (a) Find an invertible matrix P and a diagonal matrix D…

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Q: 6. Which of the following is the elementary matrix that multiplies the third row of a four-by-four…

A: We find which of the given is the elementary matrix that multiplies the third row of a four-by-four…

Q: H.W 1-: The matrices A to K are 3 -1 [-1.3 D = 2] 7.4 A B = !! -1 6 2.5 -3.9 -4 7 T 3.1 2.4 6.4 -7…

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Q: 1 2 1 Find a matrix Z such that D=Z AZ is diagonal, if A -2 1 3

A: The matrix given is as follows: A=1-21-25313-2 First, we will find the eigenvalues of the given…

Q: Given that the matrix A has the reduced row echelon form U: 1 0 30 -2 0 1 0 0 0 1 0 0 0 0 2 1 7 2 -2…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: [3 1 1 4 4 2 7 5 47 2 8 6. A1= 8 and let Ej and Eg be the elementary matrices [1 0 0 01 [1 0 0 07 0…

A: A-1=316414-2842287542 The elementary matrix are as follows, E1=1000010000100031 and…

Q: Find an invertible matrix P and a diagonal matrix D such that P'AP=D. 0 0 1 -6 -2 1 A || -3 21 7 0 0…

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Q: 10. Which matrix below is NOT in row echelon form? (1 0 4 4 1 06 0 (A) 0 1 00 0 0 1 0 1 03 4 (C) 0 0…

A: We know that in row echelon form the leading entry of each row is one, but here in B) the leading…

Q: The matrix A can be written as: 100 0 0T1 0 0500 1 0 10 0 10 1 0 0. 102 A 00 1-4 01 0 0 0 1. 00 1 0…

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Q: 0 133 Suppose C is the matrix C = What is the reduced row echelon form R= ref(B) 0 29 8 C C when B…

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Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. 3 0 0 A = 16 3 8 -8 0 -1 0 0 0…

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Q: Given the matrix below and its corresponding rref(A) and rref(A') 10 0 0 -2 8 -1 -3 10 0 0 0 0 10 0…

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Q: (i 1 1 1) 13 1 1 3 1 (1 1 1 3 3 2 3 4 A = 1 1 1 1 1 3 2 3 3 4. 1 ',1 1 1 0) 1 2 1 0 | ,D= 1 3 2 0 1…

A: We use the definition of the Linearly Independent Vectors to find the answer of the given question.

Q: Which of the following is a product of elementary matrices for the matrix A = 1 0 T-1 01 0 a) -3 14…

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Q: H.W 1-: The matrices A to K are -1.3 7.4 3 A 3D -4 B = -1 D = 2.5 7. 6. -3.9 4 -7 6. 3 3.1 2.4 6.4 D…

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Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. -16 -27 0 A = 10 17 0 -19 -27 3…

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Q: [1 0 -3 A =|0 7 0 0 1 5 The matrix A can be written as: O[1 0 0T1 0 0[1 0 1 00 1 5 0 -7 0 0 0 3 0 1…

A: We have A=10-3075001 We need to write it as a product of elementary matrices. Now, we apply row…

Q: 0 5 Let A =-2 1 2 2 0 5 0 1 1 0 -1 -4 and B = 1 . Find an 1 0 -1 elementary matrix, E such that EA =…

A: The given matrix is: A=   2  0     5-2  1  -4   1  0  -1        and       B=2  0      50  1      11…

Q: A matrix A and its RREF, R, are shown, below. -2 -14 -1 -5 -6 1 7 0 0 3 | | 0 0 R = 0 0 0 1 35 1 15…

A: The space spanned by rows of A is called row space of a matrix and denoted by row(A) The space…

Q: 5. Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a 4 0 diagonal…

A: There is no correct option. There exists so many P, but none of the given option, i provide a…

Q: find (a) AB (b) BA (if they are defined) for the following matrixes 2 1 0-1 0 A = -3 4 B = 4 0 2 1 6…

A: Product of two matrices are defined if the number of columns of first matrix is equal to the number…

Q: Find the matrix A given that (I, + 2.4) ! = 1 2 4 5 O a. -1/13 5/13 2 -1 O . 1 4/13 -2/13 13 1/13…

A: From the given problem:   I2+2A-1=-1245.....(1)   Let, A=abcd   Now multiplying by I2+2A in both…

Q: Given that the matrix A has the reduced row echelon form U: 1 0 3 0 -2 1 0 0 0 0 1 0 0 0 0 2 1 7 2…

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Q: Which one of the following is not a diagonal matrix? .a 0 0 3 0 2 0 1 0 0 .b -5 0 0 05 0 0 5 .c -1 0…

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Q: 1. Verify whether the two given matrices are similar. To justify your answers perform suitable…

A: Let me provide in detail calculations entirely.....     We say that the matrices are similar, if…

Q: Which of the following matrices are singular? a) 2 -1 b) 3 A= 0 -1 4 B= 6 3 2 d) D= 24 10 3 -1 2 -1…

A: We need to find whether given matrices are singular or not. We know that , A square matrix is…

Q: 1 1 1' Let A be a 3x3 diagonalizable matrix, P 1 1 p-1- 0 1 2. 0 0 -2 D 0. If P-'AP = D then A2 is…

A: I have explained all necessary information in the solution part

Q: 8. Given the matrix B = |1 1 1 1 1 1 Which of the following matrices solves X in the matrix equation…

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Q: 1 0 1 A = 1 1 0 1 -1 0 ve B = 1 1 0 Since the matrices are rowwise equivalent and EA = B, which is…

A: We have to find matrix E.

Q: 30. Which of the following matrices is not diagonalizable? [3 2 5 (a) 0 4 7 0 0 9 [1 2 0 (c) 0 1 0 0…

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Q: Which of the following matrices are NOT elementary (there could be more than one correct answer)? [1…

A: The objective is to find which matrices are elementary and which matrices are not

Q: e the fact that matrices A and B are row-equivalent. -2 -5 8 0 -17 1 -5 1 5 A = 1 -9 5 -9 1 7 -13 5…

A: given that matrix A and B are row equivalet so matrix A and B have same rank and nullity    matrix B…

Q: Which matrix in the follows is in echelon form ? [ 1 2 0 [1 0 [2 0 2 01 0 0 1 AD 0 0 0 0 0 0 C= 1 1…

A: Row Echelon form : A matrix is in row echelon form if all rows consisting of only zeroes are at the…

Q: 2. Let A be a 3× 5 matrix such that A = [1 2 ūz v4 05), where ī1, i2, 03, 04, ūz E R³, and Find ūz…

A: We have to solve given problem: