3 b Find the value of b that make the matrix A singular. 3 5 b =

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

A: Given matrix is upper triangular matrix therefore its eigenvalues are the diagonal entries, i.e., 4,…

Q: s1 0 5 Find the characteristic equation of the matrix | 0 2 ° 3 1 4

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Q: 2. Let 2 25 and B=| 32-1 23-2 A = 23 7 a) If possible, invert the matnix A b) then solve the matnx.…

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Q: [2 3 Let A = and B = Find the (1,2)-entry of matrix X |3 5 given that XA+X=B. -3

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Q: 3. Let B be a square matrix. If B²=0, does B=0 necessarily, i.e. all zero entries? Justify your…

A: Let B be a square matrix. If B2=0, does B=0 necessarily.

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 1 4 -5 1 3 -6 4 A= 4 1 -6…

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Q: Find the greatest value of A that make the matrix 2 – A 2 A singular. -6 5 – A

A: Eigenvalues and determinants

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

A:

Q: Q1 Find the value of x, y, z if the matrix 0 2y Z A = X y -Z x -y Z satisfy the equation ATA = 1. 6…

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Q: 5. Find all values of 2 for which the matrix 2-3 0 5 0 2+2 0 S 0 is singular. 215

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). -2 0 4 A= 4 3 -3 4 18 30 L…

A:

Q: Find the singular values the matrix:

A: Given:A=1201-21Singular values:detATA-λI=0

Q: 5. Consider the 3 × 2 matrix A such that 3 A and A 5 3 (a) Write down A. (b) Is A singular? Justify…

A: For the given information, we have to answer the following...

Q: 9. A = -2 2

A:

Q: -4 8. find the inyerse of the matrix ら -4 12 by Gaussian Jordan eliminaton methed

A: Given, a-48-412b6-c21100010001 Now take, R1→R14,R2→R24,R3→R33 Then, a4-12-13b42-c37140001400013

Q: The rank (i.e., the number of pivots) of the matrix 4 1 2 1 2 1 1 0 0 1 2 -1 0 0 2 1 1 1 2 2 8 1 2.

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Q: -9 -9 -42 -36 Let A = and let B = 3. -8 33 15 Solve the matrix equation for X : 3X = 3A –B. ЗА -В.…

A: Divide both sides by 3

Q: A=18, B=22 Give a 2x2 matrix that will project any point (x, y) on to the line going through (0, 0)…

A:

Q: (a) Approximate the value of - Vx+ A Q4 dx, using two and three points Gauss Quadrature where A is…

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Q: Let A be a 2 x 2 matrix. If det (A) # 0, then det (adjA) = det (A).

A: The answer are as follows

Q: 16. Write out the solution (x, y, z) for the given augmented matrix. If it does not exist explain…

A:

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 2 4 - 2 - 2 - 2 -6 A = 4 4…

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Q: The Harmitoniat is represented b The matrix H- (a

A: In this question, we have to find the eigenvalues and eigenvectors for the given matrix H=αϖ0ϖα000α…

Q: Q1: find values (if any) of the unknows x & y which satisfy the following matrix equations? [3 -4 -5…

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Q: 3. Let A be a 4 × 4 matrix. Suppose the matrix equation A has solution set 2 -t+8 what is the…

A: Put t=1, s=1. Now we have  A12-1+111=A1211=20-23 Consider the set 12-t+sts-1211

Q: (4) For what values of z is the matrix A invertible? (5) Solve the system of equations in part (2)…

A: The given linear system is  Axy=b where A=0.10.60.5z and  b=1811 Solution (4) Matrix A is invertible…

Q: I find the cooridinate matrix for A realtive to S=SA, Ag „Az, Au? where A= [2 0 and 1 1 00

A: The coordinates matrix for A is [a b c d]=aA1+bA2+cA3+dA4=A .see 2nd step.

Q: Find an LU factorization of the matrix A (with L unit lower triangular). -4 0 4 A= 8 3-5 8 12 13 ..…

A: Topic :- matrix algebra

Q: Find an LU factorization of the matrix A (with L unit lower triangular). -5 0 4 A = 15 2 - 9 15 8 8…

A: Given that  The matrix A  To find the LU by using LU factorization

Q: 22. Find all 3x3 matrices for which the homogeneous system has a solution space as the line x= 2t, y…

A: ANSWER :

Q: 0 1 ,then the matrix is 1 0 (a)positive definite (b) negative definite (c) -Tx] [j1. Q29. If A =

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

Q: Q.3: Express the matrix as a product of elementary matrices 2 0] [1 1 3 A = |0

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

Q: Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell…

A:

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 A = - 4 3 L = U =

A: Given that, A = LU

Q: 22. Find all 3x3 matrices for which the homogeneous system has a solution space as the line x = 2t ,…

A: Answer :

Q: 9. A = -2 2

A:

Q: l6 WHe the augmented matrix as asycten of equa ions. Fd o -3 100 O 200 E3 | -5 350 メナーリ Z= xt yt_ Z=

A:

Q: Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell…

A:

Q: Q6: Solve for matrix X in the matrix equation X- A" = 21, where I is a unit matrix with size 2 x 2…

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Q: Find the value of k that makes the matrix singular.   4k + 1 3   −9 1 k =

A: Given query is to find the value of k.

Q: A 10 x 16 matrix A has maximal rank. What is its nullity? а. 26 b. 16 с. 10 d. 6 е. О

A: Using Rank- Nullity Thereom,

Q: i) Find the matrix A-¹. ii) If Ax = y, solve for x.

A:

Q: 3. let A be a 3x3 matrix and Auppose that A + 2a,- 30z=0, where a,, a,and az are the Colums of the…

A: System of Linear equations and non singularity

Q: а 3 2 Find the value of a that make the matrix A 1 2 3 3 1 2 - singular. a =

A: A matrix will be singular if value of its determinant is zero  => If A is singular then A=0

Q: Let A be a 5×4 matrix. What must a and b be in order to define T : Rª→Rº by T(x) = Ax? a = (Simplify…

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Q: 口 WLJ 18) Which is the product of the matrix? [21 4] x L2] 13 O (8] 41 8 O (6] O [13]

A:

Q: Let be A, B, C three matrixes 30 1 B = z A = 2 y C = 5 13 -10, 10 What is the value for X that…

A: We will solve for x.

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

A:

Q: Consider the 3 x 2 matrix A such that A and (a) Write down A. (b) Is A singular? Justify your…

A: We need to find the rank of matrix A  First, find the matrix A  Let matrix A= x1x2y1y2z1z2

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

A: We have to write the U matrix using LU decomposition method.