tA= 10-3 04-4 - 28 2 and b = 4 -6 Denote the columns of A by a₁, a2, a3, and let W = Span {a₁, a₂, a3}.

Q: . 25x² - 60x +36 .a²b² - 4 w4 - 49v²

A: Given query is to find the factors of the expression.

Q: What is the area and perimeter of these coordinates?(-4,5),(3,5),(3,-8),(-4,-8)

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Q: Find the values for c1, c2, and c3 to make sure that: c1 (10, 25, 1) + c2 (-15, 5, 0) + c3 (5, 0,…

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Q: Explain the dimension of the row space.

A: The dimension of the row space is called the rank of the matrix. This is the same as the maximum…

Q: Find minor and cofactor of the first row and then use them to find 3 -7 -1 0 -8 8 2 3 -7 -1 = Choose…

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Q: What are free columns?

A: A matrix is a rectangular array containing the set of numbers arranged in rows and columns. A matrix…

Q: A=[[3,2],[7,5]],B=[[2,6],[3,9]],AB=[[a,b],[c,d]] Determine the values of the entries in the product…

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Q: Find A x B x C where A = {2, 5}., B = {13, 17}, C = {0} . O (2,13,0), (2, 17,0), (5, 13, 0), (5, 17,…

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Q: -1 0 -6 9- Let D = 4 Find -2D = 2.

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Q: GIven u = and v = determine -4u - v

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

A: Every row operation is reversible.

Q: 5V2 + 6/64

A: We need to find the solution of 525+6645

Q: Evaluate for r=(3,5) , s=(-6,4) , and t=(6,-1). 2r-(s+t)=

A: Recall the following facts.

Q: Do the points (1, 5, −7), (1, 7, −10), and (1, 8, −13) lie on the sameline?

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Q: Find a + b, 2a + 3b, lal, and la - b|. a = (4, –3), b = (-2, 5) a + b = (9,2) (2,9) 2a + 3b =

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Q: 8A · 19^.

A: The given expression is 64·83. The following rule is used in simplifying the given expression.…

Q: Write as a line ar Combination of V, ,Vz,V3 where V= (1,5,4) ,V, =(1,3,-2),Vz=(2,7,-1) Vz=(1,6,7)

A: The given vectors are: v=1, 5, 4, v1=1, 3, -2, v2=2, 7, -1 and v3=1, 6, 7 Write the vector v as a…

Q: Suppose A = (-1, –5, –7) and AB= (-5, 14, 4). Then В — (5,-70,-28) help (points)

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Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: stitution? I have to use the Column Correspon

A: Is (1,2,3,4,5,6)∈ span( (1,1,1,1,1,1),(0,1,0,1,0,2),(6,5,4,3,2,1)) > A x1 x2 x3 x4 x5 x6…

Q: V=(2,7,10),V%=(1,2,3), Vz (1,3,5),Vz=(1,5,9)

A: Let V=aV1+bV2 +cV3 where a, b and c are constants.

Q: Find the dot product: (-1, 0,1) . (1, 9, 2). Fully reduce your answer. (It should be a whole number)

A: To find The dot product of (-1,0,1).(1,9,2)

Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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Q: Find sub spaces row (A), column (A) and null (A). Find rank 103 A=015

A: first we shall find rank of the matrix then find row space, column space and null space

Q: If BD = p- 7 and BF = 6p - 97, find BF in parallelogram CDEF. D. BF C.

A: Given : CDEF is a parallelgram  The diagonals of a parallelgram are bisected by the point of their…

Q: Suppose the second column of B is all zeros.  What can you say about the second column of AB?

A: If the second column of B is all Zeros, then the second column of AB will also be all Zeros.

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

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Q: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

Q: JIT x²-2y+xz) dydzdx= -2°1 .A 27 4 .B 17 4 .C 27 4 .D 17 4

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Q: What is expressed symbolically sum of square between columns?

A: Sum of Squares between columns of “Between Group Variation” is a term one would come across while…

Q: Calculate the linear combination: 1 (2, 2, –4) + 4 (-2, 3, 2) = %3D

A: Linear combination of a set of vectors: Let us consider V be a vector space over the field F. Let…