Q3. Find the dominant eign value by using Raleigh Quotient Method of the Matrix [4 1 A = |0 2 1 lo o -1]

Q: For matrix A, B if A – B = O, where O is a null matrix then * A = B B = 0 A = 0

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Q: ix A, find (if possible) a nonsingular matrix P such that P-AP -3 0 0. 15-4 4 0 5

A: Introduction: A square matrix A is diagonalizable in linear algebra if it is similar to a diagonal…

Q: x+2] is an invertible matrix, t 4 LA 2х-3 х+1

A: If A is an invertible matrix than determinant of A is not equal to zero.

Q: Q2: You have the matrix 2 3 1 4 A = 4 3 5 2 1 4 3 1 How can we get the transpose of matrix A ?

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Q: Q3. Consider the matrix -1 A = -1 1 Compute || A||2 using the SVD of A.

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Q: The matrix is not invertible for what value of x 2 1 1 1 31

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Q: find the twelfth pawer X of the matrix X that satusfies the Equation 12 X A = AD

A: XA=AD⇒X=ADA-1⇒X12=ADA-112=ADA-1·ADA-1·…·ADA-1=ADA-1ADA-1A·…·A-1ADA-1=AD12A-1

Q: 3. Find the matrix X, such that XC - 2C = DXC satisfies. 3 4 4 4 1 C = 1 2 1 D = 1 0-2 4 1 -1 -3

A: Since there are multiple questions, we are solving the first question. Please post the questions…

Q: Use A-1 =(1/detA)adj A to compute the in­verse of the coefficient matrix 2x -y = 5       x + 3y = -1

A: Given: The linear system of equations is, The inverse of a matrix is calculated by using the…

Q: D M 2P] 3 3. If A =| K [-P R s is a singular matrix then find the value of P.

A: Given a matrix, A=DM2PK3S-PRL. Let, D=1, L=9, P=f, S=1, N=8, K=9, M=3, R=5. Then, A=132f931-f59  To…

Q: 4 For matrix A = if g(X) = X2 + 4x + 2, what is the answer to g(A)? 3

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Q: Q1: Given that A = [3 -3 -5] and B = 5,what is the matrix A- BT?

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Q: Solve the equation (X – A)B = BC for X, assuming A, B, and C are all invertible (note that A, B, C,…

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Q: Solve for the matrix X if AX(D + BX)-1 = C. Assume that all matrices are n X n and invertible as…

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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. АT 2. В — 2A

A: To find 1.A^T 2.B-2A

Q: (4) Given matrix A = and that h(T) = T² – 2T – 7, find h(T).

A: We use properties of matrix

Q: If A is a 4×6 matrix and the dim Nul A​=3,what is dim Col A​? Justify your answer.

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Q: What is the quadratic form of the matrix ( ): O z+zy + y O + O z? + ry +y O2+ zy

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Q: For which values of x is the matrix singular? x² 4] 2x 1.

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Q: Q4: If the matrix A = (; :),s Show that A2- 2A – 21 = 0.

A: We observe that characteristics eqn of A will be x^2-2x-2=0. By Caley hamilton tum put x=A we get,…

Q: (4) Given matrix A and that h(T) = T² – 2T – 7, find h(A). 5

A: Matrix Multiplication

Q: (4) Given matrix A = 3 and that h(T) = T² – 2T – 7, find h(T).

A: see 2nd step.

Q: Q1: Find a matrix P that diagonalizes A , and check your work by computing P-'AP ; [2 0 -2 1) 4 = %…

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Q: If A is a 4 x 6 matrix and the dim Nul A​=3, what is dim Col A​?  Justify your answer.

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Q: Apply the Gauss-Jordan method to invert the matrix given below. [1 0 0 01 1 1 0 0 1 1 0 L1 3 3 1 P =…

A: P=1000110012101331 is the given matrix to apply the Gauss-Jordan method on it that is RREF(Reduced…

Q: Q4. In the iterative formula Gn+1 = D¯'(C – AG„), what 20 20 -1 -1 20 15/ -1 20 '15 20 0 20 (20 -1…

A: D is the diagonal matrix, G(n+1) is the (n+1)th iteration of the roots.

Q: In what direction does f(x) = 2xy – 7x increase most rapidly at (6, - 2)? %3D V f(6, - 2) = (Type an…

A: Given query is to find the direction of moast repid increament.

Q: (4) Given matrix A = ( ), and that h(T) = T² – 2T – 7, find h(T).

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Q: (4) Given matrix A = G ). and that h(T) = T² – 2T – 7, find h(T).

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Q: 3. PD. For these values, determine the Cholesky factorization of the matrix A.

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Q: Q#01 For which three numbers c is this matrix not invertible, and why not? 2 с с A =|c c 87 c

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Which matrix is of the reduced echelon form? Oa. (1 2 04 0 0 2 7 Ob. 1 2 5 0 13-7 10 1 0 0 0 01 0…

A: To find the reduced echelon form of given matrices.

Q: find an elementary matrix E that satisfies the given equation ED = C

A: Let the given matrices are, Give that ED=C

Q: For which values of the parameter a (if any) is the matrix invertible? Justify your answer. [1 07 а…

A: A matrix is invertible if and only if its determinant is non-zero.

Q: (4) Given matrix A = and that h(T) = T² – 2T – 7, find h(T). 5

A: i have answered this question in step 2.

Q: Find the adjacency matrix for C_4 *

A: We need to find the adjacency matrix of the cycle C4.

Q: For what value(s) of k is the matrix not invertible? kk 0 k²2 k 0 kk

A:

Q: Suppose C(A) = C(A") where A is m x n matrix, then %3D O a. r=m O b. m=n mn

A: option (b) m=n is correct.

Q: Find e^t where A is the matrix A - -4 1 -1 -2 eAt +

A: Given that A=−41−1−2

Q: For which value of k will the columns of the following matrix be linearly dependent?

A: objective is to find the value of k.

Q: Q2.Find the rank of the matrix B. r1 -1 3- 4 B= 3 1 1 -1 1 1

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Q: (4) Given matrix A and that h(T) = T? – 2T – 7, find h(T). =

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Q: (V). (16') Find the QR factorization of the matrix A=(x1,x2,x3), where 4 2 1 2 1 Xị = ,X2 = ,X3 = 2…

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Q: b) Daisy chooses a new 2 x 3 matrix Y and defines M = I – XY. Daisy wants to write that XYM = MXY,…

A: ( “Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Q1/find the inverse of the square matrix (A), by using (Gaussian elimination method) * 1 2 2 A =|3 3…

A: Given: Matrix A=122331112

Q: If A is what a matrix satis fying A3= A about det A7 %3D can you say

A: We have to find determinants

Q: Q4 Find the inverse of the given matrix using Gauss-Jordan elimination: 1 0 -1 2 1 -2 3 -5

A: The given matrix is 10-121-230-5We will solve it using gauss jordan elimination method

Q: For a 2 x 2 matrix A a |A| = d|

A: For the given 2 by 2 matrix A, a is multiplied by d and b is multiplied by c .

Q: a Let A = b be 2 x 2 matrix such that d 3A' +2 Find A. 1

A: