[1 9) Let A = 2 L3 4 21 5 1. 6 01 etermine if the columns of the matrix A are linearly independent or not. Explai and all possible values of h for which the vectors V₁, V₂, V3 are linearly depen and 3 = 5

Q: b₁ b2 = = Multiply the following matrix / vector pair to obtain the vector b. 1 [ 3 ] [5] - [၁] =

A: Matrix multiplication

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A: If A and B are 2 x 2 matrices such that, A=abcd;B=mnpq Then we get, A+B=abcd+mnpq=a+mb+nc+pd+q det…

Q: 2) does the following matrix is orthonormal and orthogonal? Why? R = 2

A: Orthogonal and orthonormal matrix

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A:

Q: QUESTION 9 9) Indicate whether the matrix is in row-reduced form. 1 0 1 9. 1 8 -1 The matrix is in…

A: Yes. The matrix is in row-reduced form

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A: Linearly dependent set

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A:

Q: 5. Write a concise proof. Let A be an the row vectors nxn square matrix. Prove that are linearly…

A: We are Given that A is n×n squre matrix . And we are asking to show that ' Row vectors of A are…

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Q: Let a € R, and define vectors u₁, U2, U3 € R³ in terms of a by E] 2 U₂ = a U₁ = 3a +3 2a +3 a² + 3a]…

A:

Q: Suppose A is the 3 by 3 matrix ones (3,3) of all ones. Find two independent vec- tors and y that…

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Q: The vector 6 is a linear combination of the vectors 5 -5 equation A = has a solution 7, where A = 16…

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Q: To determine whether a set of n vectors from R" is independent, we can form a matrix A whose columns…

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Q: If A-[1 2 3;4 5 6;7 8 9] 1-set the value (1,2,3} for the fourth column 2-The number 4 multiple…

A: See answer below

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A:

Q: 11 10 The vector -6 is a linear combination of the vectors and if and only if the matrix equation A…

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Q: Exercise 3.4. Consider the matrix A = -1 3 2 2 -2 6 4 -2 (a) Give a general expression for all…

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Q: 38 20 3 9 k>. What value of Consider the vectors û =, ở =, and ☎ =< k will cause the set {ũ, v, w}…

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Q: 10 -2 Let A = 0 3 -4 and b= 5 . Denote the columns of A by a, , a2, a3, and let W = Span {aq, a2,…

A: Given A=10-203-2-462 and b=152 Column of A denoted by a1, a2, a3 W=spana1,a2,a3

Q: Which of the following must be true? If Mis a linearly dependent set, then every vector in Mis a…

A: In first option insted of every if we have at least one  then it is true . For option second insted…

Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…

Q: Please solve and show all work.

A: The answers have been provided.Explanation:

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Q: Which of the following vectors are linearly independent? I know that you can use row operation to…

A: To determine if a set of vectors is linearly independent, use the following techniques:1. Zero…

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Q: 1. Let ƒ : R³ → R5 be the function given by f(x₁, x2, X3) = (x₁ + x2 − X3, 2x1 + 2x2 − X3, 3X1 + 3x2…

A: