واجب رقم 13# Math III Matrices Part 1 Q1: Find the transpose of the matrix A 3 -2 8 A = 1 3 4 5 6/ Q2: Determine which of the following matrices is symmetric and which is skew- symmetric matrix: -1 B = -1 4 4 8. 7. 1 -2 C = -1 3 4 -4 2 1 7 D = -1 4 -7 -4 0 Q3: Find the determinant of the above mentioned matrices B, C |B| =? |C| =? Q4: Find the multiplication of matrix A by matric C AC =?

Q: Let A₁, A2, and A3 be matrices such that det (A₁) = -3, det (A₂): det (A₁ A2 A3) = Number = 4, and…

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Q: J-6x1 4x2=1 1-2x1-x₂ = − 1 When you put your cursor in the answer box, select the matrix tab and…

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Q: Use a graphing utility with matrix capabilities to find the following, where u = (1, 2, 1, -3), v =…

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Q: find an example of a matrix in V=M3x3 that doesn't have an additive inverse ans should be entries in…

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Q: of a matrix is the factorization of a given square matrix into two triangular matrices.

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Q: Create two 2 x 2 matrices A and B, to show that (A+ B) - A+B is not always true. Clearly write A, B,…

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Q: Let A, B, C and D be square invertible matrices, such that AB = CD. Find an expression for B-¹?…

A: Use the properties of invertible matrices and their product to solve this problem as in next step.

Q: To find the (3, 9) entry in a matrix product we compute the product of 3 of the first matrix with 9…

A: As we know that, Matrix multiplication indicates a row-by-column multiplication, where the entries…

Q: Show an example that the scalar multiple of a diagonal matrix is also a diagonal matrix. Put brief…

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Q: (1) True or False? Justify your answer. (a) Let A, B, and C be two square matrices of the same…

A: for given three matrices with same dimension  and  is invertible,Again as matrix multiplication is…

Q: OF 1 -1 -1 -2 2-1 2 3 0 1 -3 4 0 1 -4 No, the columns of this matrix are linearly dependent O Yes,…

A: Note: A set of two vectors is linearly dependent if one vector is a multiple of the other.

Q: Types of matrix?

A: the main types of matrices are: Square Matrix Symmetric Matrix Triangular Matrix Diagonal Matrix…

Q: 4 -3 1 34. The rank of the matrix A = -1 is 2 -7 -14 5 8 -1 (A) 1 (B) 2 (C) 3 (D) 0 (E) 4

A: Given Matrix is A=24-312-1-7-14548-1 we have to find the rank of matrix

Q: Use the theory of invertible matrices to solve the following system of equations S 8x1 + 5x2 = -9…

A: Given  8x1 + 5x2 = -9 7x1 + 5x2 = -11 Put x1 = x  and x2 = y

Q: Describe a method for showing that two matrices are row-equivalent. Are the two matrices below…

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Q: Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can…

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Q: the matrix A = and explain why or why not this matrix is diagonalizable

A: In the given question, concept of diagonalizable matrix is applied. Diagonalizable Matrix Any square…

Q: Diagonalize the following matrix, find P and D with A = PDP-¹, then compute A4 for the matrix A = 1…

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Q: Orthogonally diagonalize the matrix 1 2 2 -2

A: Given,     122-2

Q: Determine the rank of the matrix. 1 -2 2 -3] 6) 2 -4 7 -2 -3 6 -6 9

A: We have to solve given problem:

Q: -4 -4 -16] A = 16 -18 -56 -4 6 -51 That is, write A = LDU where L is a lower triangular matrix with…

A: We can make some row transformations to find the upper triangular matrix prime U', then from this,…

Q: True or False The identity matrix has properties similar tothose of the real number 1.

A: We have to say that the given statement is true or false: The identity matrix has properties similar…

Q: X = 8 8 3 3 ; A = 2 42 0 1 -2 -3 7 3 3 2 9

A: Every matrix of order m×n is represented a linear transformation from Rn→Rm definition of T(x)=Ax

Q: Find the following matrix product. Be careful to distinguish 2 x 2 matrices in the answers from 2 ×…

A: We use the Product of Matrices to answer the given question.

Q: If matrix A, B and C are invertible matrix of same order then (ABC)-¹= Select one: O a. CBA O b.…

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Q: A teacher has given four tests to a class of five students and stored the results in the following…

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Q: Illustrate Diagonal matrix?

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Q: -2 Find the inverse A of the the matrix A = 1 2 1 -2 0 Select one: 5 0 O a. -16 -7 5. Ob. -16 -7 1…

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Q: Find the LDU factorization of -3 -6 A -15 -29 33 -15 22 That is, write A = LDU where L is a lower…

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