(3) Consider 1 -4 9. -7 1 -1 5 A = -4 1 B = -2 -6 -6 10 7 and assume that the matrix A is row equivalent to B. List rankA and dimNulA, and then find bases of ColA, RowA, and NulA.

Q: Consider the matrices. -1 7 2. L = 1 3 M -2 -6 - N= [1 2 3 4] -3 %3D -1 10 P = 0 0 and %3D What…

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Q: Given that the matrix A is row equivalent to U: 2 3 4 -2 5 4 05 -1 0 0 0 0 -4 5 -3 A = U 011 4 -4 1…

A: U=-25405-1004000 here we have one pivot entry at all 3 columns so the reduced row echelon form is…

Q: 2 Find a basis for the row space of the matrix A = 9. -5 -8 {[ ]} Ex: 42 -8

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Q: Given the matrices below and that A = LU, solve Ax = b. 1 -2 -3 11 A = -3 -7 b = 33 -4 9 12 –39 [i…

A: We use LU-decomposition method to find the value of x.

Q: 3. Show that (AB)* B' A' by using the matrices A and B giver [8 -2 5] 1 -5] B = 7 0 -3 A =1 -4 3 6.…

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Q: Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A.…

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Q: In cach of the following, write the matrix A as a product SDS, where D is a diagonal matrix. ( ) 10…

A: We have to diagnose the above matrix.

Q: -19 -18 -4 -8 -20 8 19 A -8 -8 -9 -15 -13 -13 -9 19 In each part, find the row operation that…

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Q: Perform the row operation on the given augmented matrix. 1 3 -1 8. - 7 9 4 6. - 7R, + R2 - 2 3 9. 8…

A: Given the augmented matrix We need to find -7R1+R2.

Q: 10 - 2 -5- -2 2 3. ST 3.

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Q: State Cayley-Hamilton theorem and prove this for following matrix [1 1 A 1 2 -1 %3D [5 8

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Q: Given similar matrices A 2 3 5 6 and B = 4 7 8 9 2 798 Find a basis 465 3 where the matrix for A is…

A: Given matrix: A=123456789 and B=132798465 To find: The basis for the matrix A and B. Concept Used:…

Q: Find the matrix A given that 1 2 (I +2A)-1 4 5. O a. 4/13] 1 -2/13 13 O b. [-9/13 1/13 2/13 -6/13…

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Q: Consider the following matrix. 1. -3 -2 A = 3 -10 -2 -6 -2 10 2 5 -1 6 3 Calculate the adjunct of…

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Q: For the matrix A. det(A) = 16 B. det(A) = -30 C. det(A) = 0 O D. det(A) = 30 OE. det(A) = -16 %3D

A: We try to solve determinant using some elementary row operations.

Q: 2) Consider the matrices A= (;) (2) and B= (! %3D -/ 2 Calculate 2A +3B, AR, C0o d BA

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Q: a) Factor the matrix A into the product XDX- where D is diagonal. (-1 -2 2 A = 4 3 -4 -2 b) Verify…

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Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 5 1 2 A = 3 1 7 2 2 -2 11 25 8 -1 8 1 0…

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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: Given that the matrix A is row equivalent to U: -2 5 05 -1 0 0 0 0 2 3 4 4 -4 5 -3 A = U = 011 4 -4…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: 4. If the product D = ABC of three square matrices is invertible, then A must be invertible (so are…

A: Given that the product D=ABC of three square matrices is invertible. Also given that A must be…

Q: DEMONSTRATE THAT A A-1= A-1A = I      FOR THE MATRIX BELOW     1 -1 2 2 -3 4 1 0 3

A: Given matrix A=1-122-34103 We have to  prove that AA-1=A-1A=I We know that A-1=AdjAA

Q: 2. From the matrix in item no. 1, A = -2 5 3 0.5 8 -5 -4 -3.2 4 -1 0 0 B = 42 59 -50-2-8 -7 2.8…

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Q: Given the augmented matrix 1 -3 5 4 A =D 4 -11 2 -4 -3 6 6 -6 perform each row operation in the…

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Q: 2. Use the methods of Examples 6 and 7 to find bases for the row space and column space of the…

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Q: (b).Use the matrices а A d and 5 3 В 4 7 to illustrate Det AB Det BA det A. det B.

A: The matrix AB and  BA are:…

Q: For the MAtrix       1 -2   4 A= 2   0   6       3   7   3 what is the vlaue of |A|

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Q: Match the two matrices A, B with their product AB. i Instructions 1 0 2 6 7 4 3 4 5 -3 9 0 6 1 [1 -2…

A: Match the two matrices A, B with their product AB.

Q: 1 2 Compute the adjoint matrix of A 3 2 2 2 3 Select one: a. -7 4 -5 7 -7 -5 3 -1 -2 %3D -7 -5 41 d.…

A: We have given a matrix and we have to find the adjoint of A.

Q: Illustrate the Gersgorin theorem by the matrix 2 1+ 2i 0 A = -1 -2 – 2i 1/4 1/41/2 140 12 1/7 1/2…

A: We state the theorem and explain it with the help of the given matrix A.

Q: Perform the row operation on the given augmented matrix. 1 2 - 1 -3 2 5 1 7 - 2R, + R2 -6 7 Vhat is…

A: Given query is to perform indicated row operation.

Q: Given that A- -3 -1 -5 2 has the form A = PCP-¹. O P= O 2 -1 1 0 2 and P= O and C= Find an…

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Q: Refer to the following matrices. 2 -3 7 -4 3 -1 21 -11 26 1 4 A = B = 6 02 7 21 515-8 0 8 c-[1 034…

A: A matrix having a single row is a row matrix. From the given matrices: Matrix C i.e., 10345 is a…

Q: Consider the matrices 1 17 9. 1 4 A = 1 1 1 1 1 B = 1 1 17 1 9 C = 1 4 0 0 Which one of the…

A: B and C are in reduced row echelon form, but A is not.

Q: 2. Determine the products C = AB and D = BA if 4 -7 -5 1 -9 -1 3 -5 2 7 6 A = B -13 -4 -3 11…

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Q: if the chractrestic polynomial of a matrix A is p(^) = (^ +1)(^ - 2)2 then det(-A) +tr (A) = 1 7 -2…

A: As we have 3 roots of characteristics polynomial.

Q: Give bases for row(A), col(A), and null(A). 2 -4 2 0 1 A = -1 2 1 2 3 1 -2 3 2 4

A: Find a basis for row(A). Row space of a matrix is the span of row vectors of the matrix A and column…

Q: Given the Matrix Below 5 -4 7 1 10 -2 7 -1 9 A = B = 2 9 -10 2 6 -2 O 5 2 12 -4 1 a. A+' (using…

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Q: [4 1 21 tA-3 4 2. B-1 -2 3, and C-5 0 2 Lo 3 2] [-1 0 5 [1 2 -3] [1 4 -3) 1 -1 1 [s 20 Find the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

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: Given that A and B are 5 x 5 matrices and B is invertible. If det(BAB-1 – 21;) = 7, where %3D Iz is…

A: Let's find.

Q: -4 Which of the following elementary row operations has the same effect as left multiplication by…

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Q: 7. ). Find all a and 3 > 0 so that the matrix B : 23 6 2 is %3D В 2 diagonally dominant; 12G

A: For a matrix is to be diagonally dominant, there are three conditions or properties, first one is…

Q: Зу— 6z %3D — 3 2х — 2у — 4z %3D 10 2х + Зу + z % 7 Зх —

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Q: Find the matrix product mentally, without the use of a calculator or pencil-and-paper calculations.…

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Q: Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A.…

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Q: Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A.…

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Q: 4. Consider the following matrix A, where -2 4 -2 4 A = 2 -6 -3 1 -3 8 2 -3 Find bases for and…

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Q: SU 2. Which of the following is a correct representation of 2v given the row matrix v = [1 2]? %3D…

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…