1 -3 1 5 6. What is B+A? 4 Let A = B: 2 10 -7 -4 0 -7 If x + 9x +5 is divided by x, then remainder is Find the value of x in the equation 2 log3 x – log3(x + 2) = 0 %3D [1 4 What is a, if A = is a singular matrix ? 2 a Simplify (1+ x)(1+x²)(1 – x + x²) in descending order The factors of 2x3 + 3x2 – 5x – 6 are

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

A:

Q: A is a real 3 x 3 matrix with eigenvalues 1,1,3. Consider the following statements (1) the equation…

A: Since A has Eigenvalues 1, 1, 3 hence given matrix is non-singular. i) Since A is non-singular, Ax =…

Q: 4.F.1 Suppose the eigenvalues of a 3 × 3 matrix A are 2, 3/5, and 2/5 with corresponding eigenvec-…

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

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A: Given that A is a 7×7 matrix with characteristic equation  λ4λ-6λ-152 To find: Possible dimensions…

Q: [1 1] For the matrix A 3 2 31 The value of trace(A)+ a23- det(A) is: O21 I31

A:

Q: Question 1 Using the definition of the exponential of a matrix compute elA where 0 1 0 A = |0 0 1 0…

A: Rewrite the system of differential equations as:         X'=f'(t)g'(t)h'(t)=010001000ftgtht=AX

Q: 1 -2 -1 3 Let A = 4 -3 5 2 1 Let ez be the third column of the 4 x 4 identity matrix I4. Compute Aez…

A:

Q: se the method of undetermined coefficients to find a particular solution of = Ax + g(t). 3t (16) x+…

A:

Q: |1 4 5 Let A = 0 2 6 Determine for which values of x E R the matrix xI3 – A is invertible. 0 0 3

A:

Q: An n×n matrix A that satisfies Ak =0 for some k is called nilpotent. , show that the given matrix is…

A:

Q: Linear/differencial

A: a) to show that the eigenvalues of the matrix have the required properties

Q: -x-1 -x 2 Let A = 1 2 (i) Determine an expression for det(A). (ii) For what values of x will the…

A:

Q: 00 0-2 2. Given the matrix A = 1 2 1 1 0 3 A. Determine the eigenvalues and their corresponding…

A:

Q: [8 -3 2 =| 4 11 -1 4. 12 Inverse of a matrix A .lla matadu itA [0.4706] V= 0.5147 now that taking…

A: Consider the given values. A-1=8-32411-16412 and V1=0.47060.51471 The smallest antigen of matrix A…

Q: Consider the linear system X' = AX of two differential equations, where A is a real coefficient…

A: Solution

Q: please answer part (b)

A: Find the eigenvalue of the given system as follows.

Q: Give general solutions for x,(t) and X2(t) dx, = x1 + 3x2 +1 dt dx2 = 3x1 + x2 +1 dt

A:

Q: 1. Find the inverse of the matrix. For what value(s) of x does the matrix have no a. [e* -e2x1 e 3x…

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: 10 1 5.Let A -1 1 1 -1 1 a) Find the decomposition PA=LU for the matrix. b) Solve the system Ax=…

A: Some times permutations matrix P not needed.

Q: 26. If r3 +9x + 5 is divided by x, then remainder is 27. Find the value of x in the equation 2 log3…

A:

Q: -2 -1 1 1 What are the eigenvalues of the matrix? -1] A) (1,-1,2) O B) (0,1,2) OC) (0,1,-2) OD)…

A:

Q: Г1 2 1 Given A = 2 3 1 4 0 17 x, C =|-2 1 0 and D=[2 1 4]. |-2 0 1 5 В - -2 w 3 4 2 y 3 -2 a (a)…

A:

Q: 3. Find the matrix E-l where 1 0 01 E = 1 -4 0 1 ......

A: Given that: E=100010-401

Q: [1 1 5 The matrix A = |1 L0 3 4] is not invertible. What is r? Round your answer to two decimal…

A: The given matrix is 1151x3034. It is given that A is not invertible. So, the determinant must be…

Q: The Attached coefficient matrix A in Problem is the sum of a nilpotent matrix and a multiple of the…

A: Given x'=30006300963012963x,x(0)=1111

Q: X = - 3 1. Construct a matrix that have an A above with multiplicity of 3. 2. Find the eigenvectors…

A:

Q: 20 0 The Hamiltonian is represented by the matrix H = μ| 0 0 1 010 Where μ is positive real number.…

A: Given that Hamiltonian is represented by the matrix H=μ200001010   Where μ is a positive number.

Q: [1 0 01 The eigenvalues of the matrix A = T0 0 2 are Lo 2 ol a) 1, 2, and - 2 b) 1 with multiplicity…

A:

Q: 3. Consider the system of equations given by: a': -2 I. -3 a. Find a fundamental matrix for the…

A:

Q: ÿ' 7 = [-³ ÿ. 3 2] -5 -3 a. Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ =…

A:

Q: 5. Find the general solution of the system of differential equations (1)- 2 7 d -2 11 7 х. dt 2 -7…

A:

Q: Let M= 3e be a fundamental matrix for the system X' = AX. Find the exponential matrix e 2e' Le'-3e2…

A: Given fundamental matrix is: M=et03ete2t Then  M0=1031 And, M0-1=10-31

Q: [1 2 3 1 5 L5 6 0. Q3/: Consider the matrix A = 0 find A-1.

A: Given, A=123015560

Q: 40 0 2 0 1 2 4 1. Given A -1 (a) For each distinct eigenvalue, find the corresponding eigenspace.…

A: Given matrix is: A=400-120124

Q: An n×n matrix A that satisfies Ak =0 for some k is called nilpotent. , show that the given matrix is…

A:

Q: 2 0 O1: Let A = |B 3 1. Find the values of a and B for which A is 1 3 1. Non-singular. 2. SDD. 3.…

A:

Q: 5. Consider the matrix 11 -5 A = -2 10 (a) Compute the singular values for A (b) Compute the SVD for…

A:

Q: -4 with singular value decomposition A = U£VT,what are the sizes of the -2 Given a matrix A = -7 8.…

A: A is 4×2 matrix. to find: sizes of U,∑ ,V

Q: Consider the initial value problem X₁ x(t) = dx 01 dt = (a) Find the eigenvalues and eigenvectors…

A: The main objective is to solve the given IVP.

Q: 1 4 2 k 1. Let the matrix A = be given. a) For which value of k, the eigenvalues of A are A1 :1, A2…

A:

Q: 2. Let (2 2 -2 A = | 5 1 1 5 -3, -3 a. Compute e4 using the definition of the matrix exponential. b.…

A: The given matrix is: A=22-251-315-3 a) Find the matrix eA using definition of matrix exponential.…

Q: Solve the nonhomogeneous system of differential equations 8 -2 2 8 d -2 8 2 x - e 2t 16 dt 2 8 24…

A:

Q: 3 2 ý' = ÿ. -5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. 3 i 5 5 A₁ = i…

A:

Q: 10. Find the general solution of the system of differential equations d 3 -2 -2 -3 -2 -6 dt 10 2 2 1…

A: Given system of differential equation is ddtx=3-2-2-3-2-63610x+2te4t2-10+3t2e4t20-1+4t3e3t13-3…

Q: 1. а. Find the inverse of the matrix. For what value(s) of x does the matrix have no -e 2x e 3x…

A:

Q: [2 1 1. Find the inverse matrix using Gaussian Elimination for A=|1 1 1 li -1 2.

A: We know for a square invertible matrix [A:I]=[I:A-1] Now,  [A:I]= 211  100111  0101-12  001 R1↔R2…

Q: (1 2 -3 (c) The matrix A is defined as A = [0 3 0 0 -2 2 . Find the eigenvalues of 3A³ +5A² – 6A+2I.

A:

Q: 1 D 3 -3 -2 A) B) 3 -2 16 12 3 -2 6. -8 -8-

A: The dimension of a matrix is defined as . Here, m is the number of rows and n is the number of…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.