[-1 -1 21 Let A = = [23] 3 7 Write b as a linear combinations of the columns of A b= a₁t and b a2

Q: Find B2, if possible. - 2 4 *- [31] B = 35 Select the correct choice below and, if necessary, fill…

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Q: [-3 -2 Let A= 0 -6 and b = 14 3 2 6 Determine whether b is in the column space of A.

A: If b is in column space of A then Rank (A:b)=Rank(A).

Q: az If b b2 b3 = -2, find C2 C3 a1 - a3 a2 bị - b3 b2 bz. C1 - c3 c2 C3

A: Given,  a1a2a3b1b2b3c1c2c3=-2

Q: 1 A =-3 -2 -2 ,and b= 9 1. Let 1 9. -5 ,x= 4 -8 -1 7 It can be shown that Ax b. Use this fact to…

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: #1 and 4

A: Solving for Q : 1 and 4   1. Let p = probability that a 2.5 inch toothpick landing on the line when…

Q: 5. Find the change of coordinates necessary to express the quadratic form with a matrix A = [₁3] as…

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Q: Let B = [b1, b2, b3] = -1 -1

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Q: Let B = [b1, b2, b3] = -1 -1

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Q: Find u+v-2u. U= = (5, 3) and v = (-3,5) u+v-2u=

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Q: Every row operation is reversible. O True O False

A: Every row operation is reversible.

Q: Determine whether b is in the column space of A. A = 1. -102 5 8-10, b = -3-3 6 3

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Q: Let A = 4 -1 -2 -2 -2 -2 -2 2-2 and x = 1 4 2 Select an answer Linear combination of the rows of A…

A: The given matrix is A=4-2-2-1-2-2-22-2 and x=142 We have to write the meaning of Ax.

Q: If A = -4-49 45-8 44-8 Then A-1 = Use A-1 to write b as a linear combination of the columns of A.…

A: To find the inverse of the matrix  A  and use it to write the vector  b  as a linear combination of…

Q: -1 – 7 -3 (a) Let A = 15 6 Find the second column of A-1 without com- 1 3 puting the other columns.

A: Given,A=-1-7-32156132

Q: = [₁ Construct a 2 x 2 matrix B such that - AB is the zero matrix. Use two different nonzero columns…

A: The given matrix .To construct a matrix such that is the zero matrix.

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

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Q: Find u v, 2(u + 3v), and 2v- u. - u = (6, -5, 8, 3), (a) u-v= (b) 2(u +3v) = (c) 2v - u = v = (-2, 5…

A: The solution is shown below-

Q: Let B = [b1, b2, b3] = -1 -1

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Q: [1 -2 -1] Let A- 2 4 l3 0 -2 -1 3 and B- 3 2 . Express the second column of AB as linear…

A: The objective is to express the second column of AB as linear combinations.

Q: Given that a₁ = a2 A -2 3 and -2 -2 -11- 0- 1 1 and 1 -3 = [a₁ a2 a3 a4 ] and has U = RREF given by…

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Q: Suppose an = -3an-1 a1 = a2 = a3 = 2an-2+ 6an-3 and a4 = -17, a5 = 53, and a = -167. Find a₁, 92,…

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Q: Let B = [b1, b2, b3] = -1 -1

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Q: Find whether A and B are independent in the following cases : (AB) = 256 ; (aB) = 768 ; (AßB) = 48 ;…

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Q: 2 If possible, write 7 - 4x 6x² as a linear combination of -2 - x + x², 2 x + x², 2x² and 1 + x.…

A: We have to find the values of a, b, c such that,7 - 4x - 6x2 = a(-2-2x + x2) + b(2-x2) + c(1+x)

Q: An A12 [ A21 A22. A22 = [-7 7]. Fill in the block matrix. -9 -5 where A11 A12 9 , A21 = [3], and -4…

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Q: [5] as a linear combination of the columns of A = -1 3 10. Write j = 1 4 -5 6

A: Our objective is to write y as liner combination of column vector of A.