-2 1 -1 -3 1 3 b) Find the Rank and Nullity of a matrix A = -2 -1 1 -1 3 3 9 0 -12

Q: -1 Give the co-factor of matrix C, where C = 1 2 1 1 5 2 1 1 -1 2 -4 5 2, -1 3 1 B -2 6. -2 3 -9 3…

A: Given,            C = 1-1-4125112

Q: 1. Let, A = -1 21 Find the matrix -5A3 + 2A? + 4A + 512. 9 21

A: Given: A=-1292 Determine A3. A3=-1292-1292-1292=192922-1292=-14218962

Q: 3. Express this system of equations in matrix form. a1 – b, P1 + e, P2 -c, + d,P Qai Qs1 Qai Qsl Qa2…

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Q: [2 2 21 1-Extract the matrix a=|4 4 4|

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Q: . Find the rank of the matrix : 3 2 11 3 4 3 -1 2 2 Find rank of matrix

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Q: Determine the rank of the matrix. [10-4 0 4] 01-3 0 4 00 ΟΙΙ 0 0 0 0 0 05 02

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Q: Find the diagonal line matrix P 7 -5 0 4 -1 A = 2 8 -3

A: Given the given matrix is A=57-504-128-3

Q: Find column rank, nullity, and the nullspace of the matrix 1 2 1 2 5 1 1 0. 3 7 2 2 -2 4 9 3-1 4

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Q: Demonstrate that A A-1 = A-1 A = I

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Q: 4 2 If A is a non-singular matrix whose inverse is find A. 1 - 2 -1] -1] 1 В. -1 1/2 С. -1/2 1 D. |…

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Q: B- Find the matrix A :- 3. A + -5 4 1. -1 3.

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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: 2. The matrix product G o) ( (5 3 is equal to 3 2 5 3 (: ) 3 5

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Q: 3. Determine whether the matrix is elementary. If it is an elementary matrix, state the elementary…

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Q: Find the numbers of the pivots to the matrix below: 2 1 1 1 2 -1 0 1 4 4 4 -3 11 O 4 O 2 O 3 O 1

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Q: Find a non-zero, two-by-two matrix such that: 6 -7 0 0 -30 35 0 0

A: Nonzero matrix and it's multiplication

Q: Let A = -2 1 2 -3 and B = 0 3 1 -2 Find a matrix X satisfying the matrix equation 2A + X = 4B. X =

A:

Q: Q1 (d): Find the rank of the matrix A. 1 0 5 0 1 -2 2 -2 -1 1 -6 3 -2 12 2 -3 0 2

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Q: 1 1 -1 -1 -2 -1 | If A = -3 4 B = 6 12 6. 3 -2 5 10 5 Show that AB is a null matrix and BA is not a…

A: Solution: Given data is:

Q: - 2 Determine det D, adj D and D for the matrix D = 1 2 3 - 2 -1 -2 3

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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: Find the rank of the following matrix: 3 1 0 0 0 0 rank -2 1 1 4 0 4 2 4

A: A=23100000-21140424 Now, R3→R3+R1 A=2310000004240424 C1→12C1 A=1310000004240424 R4→R4-R3…

Q: Enter a 3 x 3 symmetric matrix A that has entries a1 = 1, a2 = 5, a33 = 4, a12 = 0, a31 = 3, and a A…

A: A square matrix A is called a symmetric matrix if A=AT, i.e. a matrix is equal to it's transpose If…

Q: Solve the matrix equation AX = B for X 1-2 -3 6. -1 4 6 , B = Jon A%3D 1

A: Here we have to solve the equation AX=B for X. A=1-2-3-1461-1-2, B=618

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

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Q: Find the rank and the nullity of the matrix -2 -4 -2 -7 -1 -2 -2 -6 A 1 1 4 -1 -2 -1 rank(A)…

A: Given :-2-4-2-7-1-2-2-61214-1-2-1-4

Q: (a) The matrix ( (AB)-1 )T comes from (A-1 )T and (B-1 )T In what order?(b) If U is upper triangular…

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Q: Find the rank of the following matrix: 1 1 2 1 1-a 2 2 2-а 6—а 4

A: we have to find the rank

Q: 3 2 2 3 1, find the matrix B Such that AB = 5 3 4 3 4 2 1 6 1 5 6 4 , If A = 1

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Q: -3] Let A be a 4 x 4 diagonalizable matrix, P = |–1 1 1 0 2 1 [1 01 P-1 D = |0 Lo 2 1 3 If P-1 A P =…

A: Given A be a 4×4 diagonalizable matrix. And given matrix is P=00−3−110102, D=100020002 and…

Q: B: find A of the matrix 2 1 3 3 2 -1 -4 3 -1

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Q: The nullity of the matrix 1 -2 0 3-4 3 2 81 4 A= -1 2 0 4-3 is n (A) =3. 1 5 76 0 O True False

A: Solution: The objective is to find the nullity of the given matrix

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

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Q: State the dimension of the matrix.

A: The dimension of a matrix is the number of rows by the number of columns. For example is a matrix A…

Q: Consider the matrix A = Calculate a22 = 8 5 d n -( :-(29 766 b f 468 h с Calculate 932 = a e

A: It is provided that: A=852766468·dngbfahce. We need to calculate a22, a32.

Q: Find the matrix A if 3 (АT — 21) -1 1 2 2 -2 -2 1 (c) А %—D - (а) А (b) A = %3D -1 1 11 -1 5 [ 1 -2…

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Q: 4 2 If A is a non-singular matrix whose inverse is 1 1 find A. - 2 -1 1 D. -1 1/2 1 В. С. -1/2 2 А.…

A: Goal is to find inverse of matrix 4211

Q: Consider the matrix A = 0 o 0 0 -2

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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: 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: Find a matrix A such that 2A-3B+5C=0 -2 Where B= 2 0 3 1 4 [2 0 -2 andC = 7 1 6

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Q: Determine the dimension of the matrix. 17 15 0 50 3 3 0 1 6 7

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Q: Find column rank, nullity, and the nullspace of the matrix 1 2 1 0 2 5 1 3 7 2 1 2 -2 4 9 3 -1 4 |

A: The nullity of a matrix A is the dimension of its null space: nullity(A) = dim(N(A)). It is easier…

Q: Use the following matrix. A = -1 −2 0 3 2 1 5 2 1 What is the sum of matrix A and its…

A: Given, A=-1-20321521

Q: Use Gaussian Elimination to carry the following matrix to a REF: 1 -1 2 3 -2 2 -4 -5 1 -1 1 4 2 -2 3…

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Q: 3. Determine the rank and nullity of the matrix -1 1 2 -1 1 A = (-1 -1 4 1 -3 -3.

A: Consider the following matrix: A=2-11-1-1-12141-3-3 Convert matrix A to row echelon form:…

Q: 0 11 0 2 1 5] 3. 2- Find A. A-1 if the matrix A is given by: A = -1

A: As per our guideline we are supposed to answer only first asked question.kindly repost other…

Q: 3. Find the inverse of the matrix A = 1 0 -2 2 4] 1 3 2, if it exists. 5

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Q: you have the matrix 30 1 A = |-1 2 0 3 1 2 Very specific inverted?

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Q: 3 1 2 3 2 2 Compute the adjoint matrix of A = 1 2 3 Select one: -7 8. 4 -5 3 -1-2 -7 b. +5 -5 1 7]…

A: