a dg If A= e his an orthogonal matrix, then A1 = c f i %3D a. b a-b (a) е f (b) a- g -h d g a -d -g a. (c) e (d) -h fi O e. None of these 17

Q: Find the specified change-of-coordinates matrix. Let B = {b₁,b2} and C = {₁, 2} be bases for Ⓡ²,…

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Q: -2 6. What is the diagonal matrix Find an orthogonal matrix Q that diagonalizes A = 6. A?

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

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Q: Let A and B be two square matrices of order n over a fiéid F and AEF Then (I) tr (AA)=d Ir A; (2) Ir…

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Q: 1 1 2 A = 0 1 2 3 12 1 2 3 B 4 3 6 5 5 10

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Q: Determine the matrix if it is a linear combination of O A.c = 5; d = 8 O B. c = -5;d =8 O C.c = 8; d…

A: 12cd = a1-1-1-1 +b3159 + m41611 + n-1234 Therefore, we get a+3b+4m-n = 1…

Q: kpression for "12 times x."

A: Times means multiplication. Sometimes it is denoted by dot.

Q: Show that the equation of the line through points (a1, b1) and (a2, b2)can be expressed as the…

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Q: Use elementary row operations to determine A-1 (you should be able to do (a) elementary row…

A: 1.a A=123-111201A=11-0-2-1-2+30-2     =1+6-6     =1determinant of A is not zero, therefore inverse…

Q: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

Q: Matrix A shows the number of servings of each food that each person eats per day. Matrix B shows the…

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Q: [1 0 2] 1 2 is diagonalizable. Justify your answer. 0 0 0 9. Determine if the matrix A = 1

A: If minimal polynomial having a repeated roots then that matrix is not diagonalzible.

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

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Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. [1 0 2 4] 0 1-4…

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Q: Let A be a matrix given by 3-6 -1 4 -8 -2 -3 6 3 Find a 3x3 matrix B such that B 0 and AB = 0. A =

A: A=3-6-14-8-2-363 Finding the eigen value of the matrix A A-λI=3-λ-6-14-8-λ-2-36-λ3-λ…

Q: Let A and B be 2 × 2 matrices. The equation (A – B)(A+B) = A² – B² is correct. ... True False

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Q: Let B = and C = {c1,c2} be bases for R?. Find the change-of-coordinates matrix from B to C and the…

A: The bases B and C for ℝ2 is given as follows: B=b1, b2=-12, 1-1C=c1, c2=12, 11 We are asked to find…

Q: Find the matrix A such that 10 [-13]4 ;]₁ = [ A -1 3 Hint: Let A = A = a b [26] d -1 -5 2 8

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Q: Find the characteristic equation of the given matrix: 8. -D1 2 0. A = 8 -D1 6 -6 1 6 5 Select one: O…

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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: Determine the rank of matrix A, where: A = 1 0 -1 39 0 0

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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: Let B= b,b2) and C= (e, ) be bases for R?. Find the change-of-coordinates matrik from B to C and the…

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Q: The matrices C and D are given below. Find the matrix B so that BC = D. C = -1 and D =

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Q: Diagonalize the matrix 4. -3 A = 3 -1 1 -2 3 2 by finding a nonsingular matrix S and a diagonal…

A: Given: A=4-3-33-2-3-112To find the characteristic polynomial :…

Q: Let u(g) and v(g) be the Fourier transforms of u(x) and (2) of the product u(z) v(x)? Select one: O…

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