Find the matrix exponentials etA for the following matrices. (2 0 0` 2 1 0 0 3 0 (а) А %— 0 3 1 (b) А — (c) A= 0 0 3 0 3 Please explain your work briefly (a few words each).

Q: Find the inverse of the matrix, if it exists. = A- [0-3] 63 0 H 1 1 5 10 16 19 1 1 10 6 15 0 [-10]

A: Given query is to find the inverse of the matrix.

Q: The second directional derivative of f(x, y) is Du²f(x, y) = Du[Duf(x, y)]. 5 12 If f(x, y) = x³ +…

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Q: Question 11 Determine the rank of the matrix. 1-2 2-3] 2-47-2 -3 6-6 9] 04 3 01 02

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Q: Solve the matrix equation AX = B for X. 1 3 11 B = 33 A= 5 4 X=

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Q: -2 Compute the matrix exponential e4 for the matrix A =

A: Questions from linear algebra.

Q: 1. Consider the following matrix: 17 3 1/3 -2 10 4 21 -12 -5 1/2 T e? 33 100 -17 16 1/4 -1 4 A = 1/2…

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Q: Let A and B be 2 x 2 matrices. The equation (A – B)(A + B) = A² – B² is correct. ... A True B False

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Q: Find (1-A) for the given matrix A. 3 2 -4-2 A= (1-A)1= (Simplify your answer.)

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Q: Find the i

A: Given matrix is: A=10-4-2253-12 We have to find the inverse of matrix A. Then we get, det…

Q: Let A be a 2 x 1-matrix and B be al x 3-matrix such that -1 2 AB = -3 -3 What is z and y? number (5…

A: We are give A is of order 2×1 and B is of order 1×3 we will first take arbitrary A and B then by…

Q: VI Using the matrix B and its inverse solve the following problems. [1 3 3 B = 1 4 3 1 3 4 7 -3 -1 1…

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Q: Determine the inverse, Dn¹, of the following matrix 3 1 2 (1) D₁ = 2 0 1 2 4 1

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Q: - 1 Find (I- M) and X. 0.6 0.1 0.1 4 M = 0.1 0.6 0.1 D= 34 0.1 0.1 0.4 42 ..... Select the correct…

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Q: Solve the matrix equation AX = B for X. 1 6 A = B = - 15 X=

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Q: The (3, 1)-cofactor. The (3, 3)-cofactor.

A: We have to find the cofactor of (3,1) and (3,3).

Q: Let A = -2 -9 1 0 6 5 and B= -1-8 3 5 0 8 Solve the matrix equation B-X= 4A for X.

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Q: 3. The known parameter matrix is as follows, try to calculate the exponential function eat of matrix…

A: The given matrix is .We need to find the exponential function .We know that, if  is a jordan normal…

Q: Proove the following properties of the matrix exponential: 1. If AB=BA, then eA+B=eAeB 2. d/dt…

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Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) -5 3 -6 -2…

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Q: [0.7 0.9 0.3 0.1] Diagonalize the matrix A Write the answer in the form A = XAX-1. %3D

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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: If A and B are n x n matrices, then (AB)T = A. AT BT B. AT + BT C. (BA)T D. BT AT

A: given  A and B are n×n matrix

Q: For each section, find the matrix X solving the given equation. 100 10-610 01 0 57-5 a. X = 00-6…

A: Step 1:Step 2:Step 3:

Q: Find the value of x for the given matrix below if the element (1,1) of its inverse is 1/141. Matrix…

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Q: A = 32 23 -1 1 E₁ = Suppose that: E₂ = and B = Given the following descriptions, determine the…

A: Given:Matrix .To find the elementary matrix  which multiplies the first row of  by .To find the…

Q: Show that there are no Boolean lattices with cardinality 5.

A: We will use the fact that the cardinality of a finite boolean lattice is always power of 2 ,to…

Q: Find the inverse of the following matrix. The constant a may be any real number. -5 a w G) » [* %)…

A: Given information: The 2×2 matrix is given: 0-5-1a where, a is constant. Here need to find the…

Q: find the inverse of the matrix B

A: 1311252213891322-1Augment with a 4x4 identity matrix=1311∣ 10002522∣ 01001389∣ 00101322∣ 0001=1000∣…

Q: Find values for the the entries in the first matrix to satisfy this equation [0 0 5 5][11 13] 0034…

A: Topic- multiplication of matrices we are given 5534=11133035

Q: 3-1 10 Let A = 4. 7. and B= Solve the matrix equation B-X-4A for X. 11 -8 4 -1 8

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Q: 4. Find the inverse matrix of A (A-1) 3 1 10 A= 2 5 4 -1 -3 1

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Q: 9. Find the inverse of each of the following matrices. 1. -1 2 a) A=1 0 3 4 0 2 1. 0 0 b) B=0 1 0 |0…

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