Find the general solution of the given system of equations. -8 4 (구) (); x = c 1 -10r 2 Int + 1 +c2 50 (:)- (:) ** (5)· () 8 |Int + 5 2 X = C) el + c2 elo + 2 25 + c2 e-10r e+ 50 X = CI Int + (구) (1)를 X = C1 + c2 e1or + 25 2 X = C1 + c2 Int+ 25

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: Find the LU factorization of the matrix A, where 3 -5 2 3 2 -2 A = -1 -6 1 -1 -4 1 2 1 2.

A: We know that A = L U where L is the lower triangular matrix and U is the upper triangular matrix.

Q: Perform the indicated operation if possible. If not possible, enter "DNE": 4 2 -51 0 -10 51 5 -4 -9…

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Q: Let A and B he two matrices of size 3 x 3 such that det(4) = 2 and det(B) = 3. Then det(38" A") = О…

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Q: product of the following two matrices. [[-5,-2,0],[5,0,3],[0,0,-5]][[-1,-1,1],[-1,1,-1],[0,0,2]]

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Q: Let the matrices and Find each of the following: Ay = and Bx = -4 27 A-441 -4 5 = 2t - [24] X = and…

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Q: 3. 7. Compute the matrix exponential eAt for the diagonal matrix A = 0 4 8. Use the formula et = L-'…

A: According to rule of bartleby I can solve only 1dt question if you need another kindly repost it For…

Q: or each of the matrices below, find the associated quadratic form. -1 (a) 7] 4 b) (c) 1 -1 4] 14 4 1…

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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: 43 Let A = Find a and b (if possible) such that %3D 25 a A? + bAT +I=0 where I is the identity…

A: 1.Use Matrix multiplication 2. To find transpose, interchange row and column.

Q: 5. Verify that the product of the non-singular matrix and its inverse from the previous problem is…

A: (5) Given matrix A=32−22 and its inverse is A−1=1102−223. We have to verify that AA−1=I2…

Q: systems. x' = Ax Use matrix exponentials to solve the following A - [3] x(0) = -3 =

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Q: 12. Find a matrix P that diagonalizes A, and determine P-AP. 3 1 A = hp

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Q: Find e^t where A is the matrix 2 1 2 1 2 0 A = 1 1 2

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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: 8. (a) Write the following in reduced row echelon form and (b) find the rank and nullity of the…

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Q: 5. 4 0 3 -3 2 A = B = 4 -1 3 0 -3 -2 1 1 0 0 - [68] D = E = 2 F = 0 1 0 -- 0 0 1 -- --| -4 -2 -1 2 1…

A: See the attachment

Q: Let A = 52 (b) Find lim A". n→∞ | 312 716 9 4 54 (a) Find a matrix B so that B² = A.

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Q: 49. Let A and B be n x n matrices such that AB = I. Prove that |A| ‡ 0 and |B| ‡ 0.

A: Use the following lemma: If A and B are both n×n matrices, then det(AB)=det(A).det(B)

Q: Factor these two matrices into A = XAX-1: [1 2] A = X = A = [1 1] A 3 3 X = A = (Note that you must…

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Q: Question 10. Solve and show work. Thanks.

A: B=⎣⎢⎡​3/20−17/209/20​321​1263​⎦⎥⎤​Explanation:Given,A=⎣⎢⎡​01−1​312​303​⎦⎥⎤​Given condition,AB=A+2BWe…

Q: Can someone help me answer this question with all the steps thank you.

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the general solution of the system of differential equations dx1 -2x1 + x2 dt dæ2 = x1 2x2, dt…

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Q: 18. Let A be a 3 x 5 matrix with 2 pivots. What is the dimension of Nul(A)?

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Q: IF S= 5A<(2E-D']find the value of the following #1 P11 # 4 P21 #7 P31 #2 P12 #5 P22 #8 P32 #3 P13 #6…

A: To find the required matrix :-

Q: Using Cayley Hamilton theorem, A for the matrix A = is al calculeted from

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.