Activity 2. Find the lower and upper triangular matrix of C= = L= = r1 -6 02 0 -3 39 -1 1 -5 25 48 U = O D

Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

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Q: 1. Let, A = -1 21 Find the matrix -5A3 + 2A? + 4A + 512. 9 21

A: Given: A=-1292 Determine A3. A3=-1292-1292-1292=192922-1292=-14218962

Q: Find the transpose of the Attached matrices

A: Transpose of a matrix is obtained by interchanging the rows into columns and columns into rows.

Q: Find the LU factorization of -1 -5 -4 A = -5 -26 -18 That is, write A = LU where L is a lower…

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Q: Find the LU factorization of A = A = 9- -4 E -4 That is, write A = LU where L is a lower triangular…

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Q: Calculate BA where A and B are the following non-square matrices: 1 3 1 0 3 A = B = 2 %3D 2 1 5 2

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Q: 1. Consider the matrices A = G ), B = (,) and C= (-1 0 5) (a) Evaluate (AB)C and A(BC). Check that…

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Q: 3 Compute x using the vectors w = -4 and x = 2 - 5 2 x = (Simplify your answer. Type an integer or…

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Q: REI [1.5 5 -151 2 30 -1 2 1 .5 and C= [-2]. -.5 16. For this problem, let A = a) Use your calculator…

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Q: 4x+5y+4z = 8 3x+3y+ z =-9 5x+5y+2z = -1 Write the augmented matrix:

A: For a system of equations is a matrix of numbers in which each row represents the constants from one…

Q: Consider the matrix A= Calculate a31 Calculate 932 755 826 5 2 6 e 9 dh n bf a

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Q: 3. Diagonalize the matrix: 1 1 0 1 0 1 1 1 1

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Q: Diagonalize the following matrix: 1 7 - 1 13 5 -5 -7 - 1 7 not diagonalizable 6 0 0 -9 0 0 - 12 90 0…

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Q: D = 3 1 5 0 -4 5 -2 -4 3

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Q: 2. Calculate the following matrix products: 1 -1 -1 3. A.

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Q: (c) Using matrices, find the images of the points (1,7), (-4,5) and (8,2) under a translation of +6…

A: Write the matrix as x and y coordinate. Then proceed  xy = 1-48752

Q: 6 -1 Evaluate ABT – 3C given that (2 -2 lo -1 2. -2 A = 6 -3 ‚B = and C = -12 7. 3. Use matrix…

A: To solve the given matrix problems.

Q: Find the transpose of the resulting matrix: -100 A = 2 3 4 x 5 2 5-4

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Q: The rank of the matrix A Number 1 2 3 4 5 6 IS

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Q: An augmented matrix is given as- a11=2 a12=3 a13=4 b₁=9 a21=5 a22=-2 a23=2 b2=-1 a31-4 a32=6 a33=5…

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Q: Find an LU-factorization of the matrix : 4 1 2 5 1 2. 3 - 7 6 14 16 11 1

A: Recall: LU factorization by using Gaussian Elimination method

Q: Matrix B:

A: Given two matrix A and B  ,we have to find the value of A-B.

Q: Find a 2 × 2 matrix that maps e₁ to -3e2 and e2 to 2e1–e2.

A: The 2x2 matrix that maps e1 to -3e2 and e2 to 2e1 - e2 is [02​−3−1​]Explanation:

Q: 3. Let A=1 -1 4 -3 7 and B= 6 -24 -6 18 Find the matrix X that satisfies the matrix equation…

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Q: How to make this matrix diagonally dominant?

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Q: Q24A. Identify the number of rows in matrix A. A = 8 -10 9 4 6 3 -3 -1 7 3 8 -2

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Q: Find the matrix A if 2 1 A = 4 2 %3D -1 3 1 3 B3: A =

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