• The Matrix B from 3 x 2 at by = 1- is 1. 3. 4. 1 -2

Q: Give the matrix X such that -1 -1 3. -2 X = 0. -5 Type DNE 4. -5 1 0. 0. if such a matrix does not…

A: Given: 02-135-2-3-51X=-1000-50004 If AX=B, then X= A-1B. We know that A-1=adjAA and adjA= cofaijT

Q: Use the definition of the matrix exponential (given in (3) of Section 8.4) For any n x n matrix A,…

A: ANSWER

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

A: Given matrix is A=DM2PK3S-PRL. Consider D=1, L=9, P=f, S=1, N=8, K=9, M=3 and R=5. Then the given…

Q: Find a matrix A such that e [-] -2 is a solution for Ax= x'.

A:

Q: Consider the following 3 x 3 matrix A and b in R, 1 -4 8 | A = 2 -3 2 1 5 -8 1

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: Let A = C 1. and X be a matrix satisfying: 2XT-A = (X + 2B)". B Then X is equal to the above equal…

A: The given problem is to find the matrix X which satisfies given matrix equation with given matrices.…

Q: Some of the entries of the 3 x 3 matrix A are known as A -1 1 If det (A) = -–6 and A-1 find x.

A:

Q: Suppose that T() and 7 () -E Find the standard matrix A for Tand find T(:) 14 and 2 and T (HD A-3…

A:

Q: **15. Suppose A is an m × n matrix and x e R" satisfies (AA)x = 0. Prove that Ax = 0. (Hint: What is…

A:

Q: in number 1, B is the matrix representation of Z with respect to B only, not B and B'. The formula…

A:

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

A:

Q: (4) Given a matrix X of independent variables, psudo-inverse X† is defined as (X"X)-'x" (a) If X is…

A: If a matrix is of order (mXn) then transpose of A is of order (nXm).

Q: A = (ai j )is a 3 × 3 matrix, develop the general ex-pression for det(A) by expanding(a) along the…

A: Given: Let A=aij be a 3×3 matrix.  To determine: The general expression for det(A) by expanding  a)…

Q: Find the characteristic equation for the matrix 2 (13). and use it to compute M-¹. M

A:

Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

A: Given A=1-11-1

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

A: We use properties of matrix

Q: For which value of x is the following matrix not invertible: 1 1 2x A = 1 2x 2x 2x 2x 2x 4 1 -1 1 2

A: For a matrix A to not be invertible: dat(A) = 0.

Q: Q1) Answer the following a) If a 7 × 5 Matrix A has rank 2, find dim(Null A), dim (Row A) and rank…

A: (a) Given that A is a 7×5 matrix of rank 2. To find: The dimension of Null A and dimension of Row A.…

Q: **32. Suppose A is an m x n matrix and x e R" satisfies (ATA)x = 0. Prove that Ax = 0. (Hint: What…

A: Here we use property of modular and dot product.

Q: G4 : Find dịagonal matrix A that sotisfies a 16 o

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: Suppose A is a matrix that is 0 0 0 0 0 0 0 0 0 What is I-A

A:

Q: 353 Reduce the following matrix to its r.r.e.f. 0. 0 -3-6 4 -1 2 -3 4 1. -2 0. 3-1 1 . 5 -9 -7

A: NOTE: Refresh your page if you can't see any equations. . the given matrix is now convert into…

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

A: see 2nd step.

Q: • The Matrix B from 3 × 2 at bj = 1 - is го 1. 2 2. 7 3. -1 4. 1 1 -2 2 3 4

A: concept of matrix  bij=1-i/j , the entries of matrix B is b11,b12,b21,b22,b31,b32

Q: Let A =mnd B- then the matrix (2AB + A")" is equal to O None of these O equal to the above 2 17

A:

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: If AT = A-1, where A is a real matrix, then A is

A: When transpose of A equal inverse of A , then A is

Q: メ-E to to L-E 2-E to to to d-E put K-E =U E= d-fX

A: The solution to the given question is explained below.

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

A:

Q: 3. Show that for any n x n matrix A of rank r, we have ||4|| < ||4||ES VFl|4||.

A: To show that: A≤AF≤ rA  for any n×n matrix A of rank r.

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

A:

Q: of the following Is the fundamental solution matrix for the coefficient i ? 1

A:

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: 2. Given the matrix A below, [1 1 0 11 0 2 1 2 A = 2 10 1 L2 0 1 4- solve for det inv A.

A:

Q: Compute the matrix exponential e^At for the system x′=Ax given below.   x′1=11x1−10x2​, x′2=8x1−7x2…

A:

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: The matrix is defined as A= 1 has characteristic equation of 22 + DA + 3, so the value of D…

A:

Q: Let A = 3 0 -1 2 Compute the indicated matrix. (If this is not possible, enter DNE in any single…

A: Solve  for the A^3

Q: 4. Find a diagonal matrix A that satisfies the given condition. 16 At = 0 81 0 1. 01

A:

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

A:

Q: Solve the equation SP = S to find the stationary matrix S and the limiting matrix ¯¯¯P.

A: P is a regular matrix so there must exist a stationary matrix S such that SP=S  Where, S=a bc The…

Q: find A-1 using Gaussian elimination and check the resul 3 -2 [1 1) A = |1 2 4. 27 1 1 Ans: A-1 = -2…

A: Explanation of the answer is as follows

Q: (4) Given matrix A = ( 2 −1 3 5 ) , and that h(T) = T 2 − 2T − 7, find h(T). ??????? ??? ? (1) A…

A:

Q: [ 1 near function L : R? - R? with the corresponding matrix A

A: we have been given a matrix A such as A=1120 Let the vectors to be multiplied by A will be xy

Q: 8. If A is an mx n matrix, wh

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

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

A:

Q: [*:* а + 2 а (10) Find all a E R for which the matrix is singular. 1 а

A: Remark: A square matrix A of n is said to be singular if and only if det(A) = 0. i.e., Its…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.