Problem 10. IfA is a symmetric positive definite matrix, is Asymmetric positive definite? Show all of your work.

Q: If (AB)" = and A = find the matrix B. %3D

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Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: 2 4 If A 1 4 - [3³] and B = [2 56 [4 2 24 find matrix such that 2A + B + 4X=0

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Q: Let (x, y, z) E R³ and the transformation T: R³ → R² be given by T(x, y, z) = (2x + 4y, x + 3y + z).

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Q: the matrIX A into a product QDQ" where Q is orthogonal and D is diagonal.

A: Given,          A=-5-1-1-1-3-1-1-1-3

Q: t matrix B= 5-21 4-2 what is The 2. 3. 1-12 -12 reduced Yow echelon form of 6 B.

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Q: 3. 3 If A is non singular matrix whose mverse 2. Al = fad A.

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Q: Known function of Supply and Demand of a beverage factory as follows: p + 2q - 10 = 0 and 5p + q - 2…

A: The system of equation is given as p+2q-10=05p+q-2=0 These system of equations can be written as…

Q: If A = [1 2 3], which type of the given matrix A ?

A: Given Matrix A=[1  2  3 ]1×3  Here number of row=1  Number of columns=3

Q: This is a linear algebra problem pretaining to matrix. Please find the cofactor C11(A), C12(A),…

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Q: Suppose that B is a square matrix with det(B) = -2. Find each of the following. (a) det(B6) = (b)…

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Q: If A is an invertible matrix and (E-F)A=0. TS matrices E= F ? Justify your answer.

A: Given that, A is an invertible matrix. Also, E-FA=0. Multiply both sides of the above equation by A…

Q: Find the size of the matrix. Determine if it is 9 6 3 1 39 6 1 9

A: Count the number of rows and columns

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

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Q: Express the matrix = [₁,1] - 9 and its inverse as a product of two elementary matrices. A =

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Q: Let e(x) = 1- 4t + 3t² € E₂. Consider the following ordered bases for E₂ B = {1, t, t²} and B' =…

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Q: У (х + 1) dy dx хз + x2 -2х У(1.1) — 0.5

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Q: Describe in your own words the meaning with respect to a matrix of the notation shown below .

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Q: If D = diag(2, -1, 0) and M is a 3 x 3 matrix, describe how the rows and/or columns of DM are…

A: Given thatdiag and M is 3×3 matrixWe have to describe how the rows and/or columns of DM related to…

Q: (A" – 21) * - | ) 3. Determine the matrix A if

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Q: . If A= is a symmetric matrix, find the value of x. -x+3 4

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Q: lue of x, if the g 5 10 is singula

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Q: Is the answer in #1 and #3 not in matrix form? how so?

A: Remember : eB represents coordinate matrix of e with respect to basis B. Which means if we consider…

Q: Give the inverse of the 2x2 matrix [1 2] [1 1]

A: Inverse of matrix

Q: If A is an n × n matrix, what are the entries on the main diagonal of A − AT ? Justify your answer.

A: Given A is an n x n matrix, we need to find the entries on the main diagonal of A- AT. Consider a 2…

Q: Find the value of x if the matnx 1 5] 4 is Singular 2. A = -3 6. 2

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Q: Write down what it means for a n x k matrix to be singular.

A: As we know, If matrix is singular then it has determinant equals to '0' For Finding determinant…