The function f : R → R2 is a linear function. If f( and f( ,find the matrix representing f a. [2 b. -3 O c. -3 1 O d. 21 2 1

Q: Find a, b, and c for the following matrix relation to be true. 0 01 1 3 21 1 4 -1 4 OJ = la² a+b 3b…

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Q: Let Find the middle column of A = 100 1 2 24 A-¹. 0

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Q: 5|, B= -14|, and C = |2 2 -11 B and C linearly dependent, or are they linearly independent? -arly…

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Q: 3-20. Let D and P be the matrices P = 1 1 -1 0 3 1 2 -2 and D = 0 00 −1 0 02 (a) Find P-1. (b) If A…

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Q: The columns of -3 -3-4 -2 A = = [ are linearly dependent in R.². -5 -1 1

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Q: Let S {r, u, d, x} be a set of vectors. = If x= 3r + 4u+d, determine whether or not S is linearly…

A: Solution:  Let the given set of the vectors S

Q: d. c+d 1. T a + b b.

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Q: are linearly independent if and only if k # -0-2-0 v= -6 -1 + k 3 = 5 1 1 7

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Q: Determine which of the formulas hold for all invertible n x n matrices A and B OA. (A+ B)² = A² + B²…

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Q: For which values of C is the set C linearly dependent? 3. C = -1, 2 C=-1,-2 C=1,-2 C= - 1, 1 O c=1,…

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Q: || 02 [1.]] -a 3 4 a +a

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Q: find if the vector x is in the range for matrix A

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