Linear Algebra: A= 7 2 2 4 Need to find P (orthogonal matrix) and D (diagonal matrix) such that A=P*D*PT, PT is transpose matrix of P.

Q: / Using Doolittles method for the following matrix A = L - matrix and U - matrix. TOY 2 0 86, find…

A: Given : A=-121086-205 To find : L-matrix and U-matrix

Q: For the matrix A 0 -(₁₁ 1). we we compute that Hence we can write 4² in terms of A and I = where r2…

A: Given : A=01-1-4           : A2=r1A+s1I          :  A4=r2A+s2I To Find : r1  , s1 ,r2  ,s2

Q: compute the indicated matrices C -BT

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Q: -9 -5 5-2 Multiply: -7 3 9. answer matrix c d 4

A: The multiplication of two matrices is possible if and only if the inner dimensions of both the…

Q: Ex. 600. Given the 2x2 Matrix A 1 2 11 3 Determine B=A+A and C=A-A Answers:…

A:

Q: 6 0 -1 -3 23*2 4 -3.0 2 4 -5 -13х2

A: As per the question we are given an expression consisting of two 3×2 matrices and their linear…

Q: compute the indicated matrices A + 2D

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Q: SKIP The 4 x 4 matrix A satisfies the matrix equation A = 3A". Find all possible values for det A.…

A: We will use the following properties : (1) det(AT) = det(A) (2) det(AB) = det(A) det(B) (3) det(c•A)…

Q: 3 2 . B = 3 and C =-1 For the Matrices A= 1 4 Find: (AT.B)+ 2 C

A: Given that, We have to find, Then we get, AT=1-32140…

Q: For the following matrices (or vectors) are given in Cartesian coordinates: 1½/21 A = [-4 3]…

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Q: 2 1 0 0 0 2 0 1 3. Let A and Ba 4 x 4 matrix with det(B) = 3. 0 3 1 -1 2 0 1 (a) (3 marks) Find…

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Q: b) Suppose matrices K = 2 -1 4 -3 6 0 0 6 -5 and D= -1 -5 0 Find the inverse of the 1 1 2 0 0 9…

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Q: 3. Let [1 2 3 A = |4 5 6 7 8 9 (a) What is Aēj? Present it as a linear combination of the columns of…

A: Given

Q: compute the indicated matrices B -C

A: To compute the indicated matrices B – C Given information:

Q: -3 4 B = -1 | %3D 4 | 0 4 3. C = -2 5 1 D = 4 -2 0 1 Using the above matrices find DB

A: Given matrices are

Q: Diagonalize the matrix A || -1 −1 1 4 16 by writing it as A = PDP-¹

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Q: he matrix is Α = et result hitting · 230 1 -1 3 401 -1 Α Α ΑΑ

A: Topic:- matrix algebra

Q: For each of the following, factor the matrix A into a product QDQ' where Q is orthogonal and D is…

A: A is symmetric matrix ,then A is orthogonally diagonalizable, and Q is the orthogonal matrix, the…

Q: Find the transpose, conjugate and tranjugate of the following matrices: # = √² = 3₁ 2 AT = 1-1 31 7…

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Q: (6 :) b12 such that A and B commute, that is, A.B = B·A. (b21 (b11 10. For the matrix A = find a…

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Q: Given the matrix A = Then A¯¹: = 1 2 4 1 5 Select one: O True False -1-2 1 2 -5

A: Given query is to find statement is true or false.

Q: Multiply matrix A with matrix B as BA if it is given that: 1 2 -1y 2 2 1 -2 2 -1 and B =| A = 3 1 -1…

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Q: Exercise 1. A student is asked to prove If m is even and n is odd, then m² + n² is odd. 2 The…

A: Let us answer above questions

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.