[5] Find the inverse of the following 4x4 matrix , where k1 , k2 ,k3, k4 are all non zero [k 0 0 0' 1 k 0 0 0 1 k 0 lo o 1 k]

Q: Find the inverse of the elementary matrix. 1 0 0 0 k 0 0 0 1 k # 0

A: Let the given matrix be A=1000k0001. Evaluate the determinant as follows. A=1k-0-0+0=k Thus, the…

Q: 4. Find a real-valued fundamental matrix for y' = Ay where [2 1 0 0 2 0 |0 1 A =

A: Given: A=210020012

Q: Which of the following matrices corresponds to the elementary row operation 3R1 + R2 → R2 on.a 3 x 3…

A:

Q: 1. For the matrix A, let T: R* → R' be defined by T(X) = Af for each i in R'. A is given: [2 1 1 2 A…

A: The given linear transformation is T:ℝ4→ℝ5 is defined as: Tx=Ax for each x∈ℝ4.Where:…

Q: Find the matrix X S uch thất 2A + B + X =0 where -1 2 3 -2 A = B = 4 Select one: a. -1 -2 -7 13 O b.…

A: Given 2A+B+X=0 From above  X=-(2A+B) We will find matrix X as follows

Q: SP6 Find the condition number of the matrix from SP3 using the 1- norm. SP3 Given the matrix a -1 2…

A: Solution:

Q: The matrix [2v2 A = 2/2 [3v2 -3/2] has a singular value decomposition A = U E VT where U = and 1 V =…

A:

Q: - 21 Prove that AB = kl, 1 4 Given that matrix A = 1 0 2 and B = 2 3 7 3 - 5 1 %3D - 3 1 1 where I…

A:

Q: 2 1 Which of the following is the matrix C that satisfies the equality (CT- 412) 5 3 -1 (a) -5 (b) 1…

A:

Q: Find the Jacobi matrix for the following function. 2 3x y- 4y + 4x f(x, y) = 2 e* sin y Jacobi…

A: The given function is: fx=3x2y-4y+4x2exsiny       ......(1) To find the Jacobi matrix of the…

Q: Write down the 5 × 5 finite-difference matrix equation (h = }) for du = f(x), du du =(1) = 0. %3D…

A: Given the differential equation -d2udx2=fx, dudx0=dudx1=0. The step size is ∆x=16. We employ the…

Q: 0. -1 Compute the inverse of the matrix A = -1 -3 -4 Type DNE if A is 1 1 1 not invertible.

A: We have given  matrix  A=0-1-1-1-3-4111 Then, A=0-3+4+1-1+4-1-1+3   expand along R1=3-2=1…

Q: Find the inverse of the matrix, if it exists. 10 0 -110 1 1 1 .... O A. OB. - 1 0 11 -1 -1 0 0 1 - 1…

A: NOTE: Refresh your page if you can't see any equations. . find the inverse matrix  add identity…

Q: Consider the following 3 x 3 matrix: a -1//2 1/V3 1//2 1//3 c. -1//3 where a, b, c E R. How many 3 x…

A:

Q: 7. Consider the following 3 x 3 matrices, [ 1 3 0 -3 2 A -1 1 and В -1 1 0 -3 2 -2 0 -6 Find two…

A:

Q: ind the spectral radius of the matrix T; of Jacobi method for the following lineer system: 1+3X3=2,…

A:

Q: Compute the inverse to the following matrix 0 -2 1 1 1 1 1 0. 0. 0 0 1 E-1 %3D

A:

Q: Let X(t) be a fundamental matrix for x′ = A(t)x on the interval I. Q. If t0 ∈ I, show that the…

A: Let X(t) be a fundamental matrix for x' = A(t) x t0∈I To show: WE have to show that the solution of…

Q: Linear algebra help pls

A: To write down the matrix whose entries are the cofactors of the given matrix

Q: Го 1 as a product X = E,E2E3 of elementary matrices. Write X 5 -40 E E2 E3 || ||

A: Columns operation to a matrix is equivalent to multiplication by corresponding elementary matrix at…

Q: [1 Find the value(s) of x for which the matrix 2 Lo 3x -1 0 is not invertible. 3 1.

A: The given matrix is 13-12x003x1. The matrix is said to be non invertible if determinant of the…

Q: Which of the following matrices corresponds to the inverse of the elementary row operation. 3R1 + R2…

A:

Q: 1. Given the matrix A below, [1 1 0 2 1 A = 0. L2 0 1 solve for det inv A. 1214

A: In the question it is asked to calculate det inv A. We can write det(A-1) = 1det(A).

Q: Given X, = [-1,0]'.do [-1,1]", go = [2,0] and G(X,)s 2. Then f(X) - f(X1) 2 ((G(X,) means the…

A: As per the question we are given : X0 = [-1  0]T , d0 = [-1  1]T , g0 = [2  0]T , ||G(X1)|| ≤ 2 And…

Q: Solve for the following quantities given the matrices below. 3 -5 1 L= 0.5 -1 3.5 2 0 4 3j E= 5.5…

A:

Q: Consider the matrices A = В — C = 2 K1 = 6 T: K2 = o Solve AX + BY = K, cX + DY = K, and find the 2…

A: The given matrices are,

Q: (1 2 3 Q15. Apply Gauss-Jordan method to find the inverse of the matrix 0 1 2 3 1 1

A:

Q: Find the characteristic equation for the matrix A 3 0 0 A = 0 1 -1 0. 1 3 -X3 – 7X? – 16X + 12 = 0…

A: Use the method of characteristic equation to find it as in next step.

Q: 7. Consider the normal noninvertible 3 x 3 matrix 0 10 1 0 1 0 1 0 A = (i) Find the spectral…

A:

Q: 11 Use the Gauss–Jordan method to find the inverse of the [1 0 2] matrix 0 1 L0 1 1]

A: By Gauss-Jordan method an inverse of matrix is find, it is also called elementary row operations…

Q: 4) The matrices à = T AT-1 and B=TB is given by 1 1 0 à = -1 1 B : 1 1 1 -2 1 2. 1 1 1 -1 0 1 -2 0 0…

A: Option C is true.

Q: SP3 Given the matrix a = -1 2 2 2 -0.5 0.5 1 -2 find the inverse using Gauss-Jordan method.

A: Given matrix: -12202-0.50.51-2 We need find the inverse using Gauss-Jordan method.

Q: Suppose that A is an n x n matrix and det(A) = 2, det(A +I) = 3, and det(A+2I) = 5. Compute the…

A:

Q: Find the inverse of the elementary matrix. 1 0 0 0 k o 0 0 1 k + 0

A:

Q: Find the inverse of the elementary matrix.

A: Given the matrix: Where k is not equal to 0.

Q: Which of the following is the elementary matrix corresponding to the operation -2R2+R3 ? O[10 0 0 1…

A:

Q: Q1- for the matrix below: [2 3 7 X = |4 8 9 l6 5 1. [2 2 21 1-Extract the matrix a=|4 4 4 l6 6 6] [2…

A: Given that,x=237489651a=222444666b=237489

Q: Which of the following matrices corresponds to the elementary row operation 3R1 + R2 → R2 on-a 3x3…

A: We want to find matrix with given operation

Q: 2) Consider the following matrices: 2 0 3 X1 D = |0 2 -1| and x = |x2 1 0 -1 X3 Determine det(D),…

A:

Q: Q5) find the inverse of the following matrices: sin(0) lo 31 ,b) B = [ ]. •) R = [ coS(0) sin(8) 2…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Which of the following matrices are elementary matrices? Select one: O a. Non of the mentioned, 2 0…

A: Given : To determine the elementary matrix from the given options.

Q: DA. V = R"X", and S is the subset of all skew-symmetric matrices. OB. V = R"X", and S is the subset…

A:

Q: -4 Let A = Find a matrix B such that AB=I. 1 - 1 1 O a) 4 O b) 1 1 4 3. c) - 3. 3 1 4 3. o d) 3. 4…

A: To find a matrix B such that AB=I

Q: Compute the inverse to the following matrix -1 0 0 01 1 0 0 1 E = 1 1 1 0 0 0 1 E-l =

A: The given matrix is E=0-10000100000000100000010001010000001 To find the inverse matrix, augment this…

Q: 0 0 What would the answer be for Ax = b if A = L|0! 0 U? The %3D %3D 0 0 matrices L, U and b are as…

A: Given that A=L160001500013U, Where L=100−1100−11 and U=1−1001−1001 We have solve the equation Ax=b…

Q: T 4.4-10 Show that Choleski's method is applicable whenever the matrix A is of the form BB with B an…

A:

Q: 1 a) Let A = 1 -1 -1 1 (i) Compute the value of det(A). (ii) For what values of x will the matrix be…

A:

Q: I. Solve for the following quantities given the matrices below. 3 -5 1 L= 0.5 1 3.5 2 0 4 -j3…

A: Dear Student,"Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Let A(t) € R"X* be a square matrix whose elements vary in time, but such that |A(t)| # 0 for all t…

A: Let A(t) be an n×n matrix with real entries and depending on the variable t. From the definition of…

Q: 1. Given the matrix A below, [1 1 0 1] 0 2 1 2 A 2 1 0 1 L2 0 1 41 solve for det inv A.

A: Det(inv A ) =1/Det(A).