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Q: Find a and ß that solve the vector equation: a) « (²) + ² ( ¹ ) = ( ²3 ) ² 3 Suppose the above…

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Q: Consider points A(0, -1, 2) and B(2, 1, -2). What is the length of vector AB? oo √21 √24 √18 0 √3

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Q: If -2 2 4 V= 3 ,W = 1 4 3 1 2 Is b has linear combination with u, v, and w. If yes, find that…

A: The given vectors,The aim is to check the vector  has a linear combination with  and .

Q: Determine if v is in the set spanned by the columns of B. B = 2-3 2 4-3 7 0 18 6-3 21 6 V= -3 3 18 9…

A: Given : B=2-324-3760186-321   , v=-33189 To Choose : Correct option

Q: Assume that A is row equivalent to B. Find bases for Nul A, Col A, and Row A. A = -2 8-2-8 2-12 -4 2…

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Q: Give bases for row(A), col(A), and null(A). row(A) col(A) null(A) 2-4 201 2 1 2 1 1-2 3 2 2 000 0000

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Q: 2 -1 3 2-4 2-6 1 -2 2 1 3-6 4-5 ind bases for the row space and column space of A Let A =

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Q: If a,b,c are vectors such that a.b=a.c,a×a=a×c, then show that b=c

A: Given, a,b,c are vectors such that a·b=a·c, a×a=a×c To prove: b=c

Q: Let ā = (- 2, – 3) and b = (- 6, – 4). Compute the dot product.

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Q: A = [3 2 01 00 67 -2, B= -1 2 71 053 006

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Q: A vector u is a positive multiple of . Vector v = with a , what will be the signs of d, e, and f?…

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Q: Use the polygon law of addition to draw the resultant vector ( å + b) + ở for the following yectors.

A: The given vectors are added

Q: Perform the indicated row operations on the given augmented matrix. 3 6 6-4 5-5-1-3 | 5 5 3-5 a.)…

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Q: find the bases of row(A), col(A) and null(A) where A =

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Q: 15. Which matrix is not in row-echelon form? 1 C) 71 -2 1-3 2 0 1-6 0 0 0 A) 5 1 -4| [12; 0 1 -2 B)…

A: Use the definition of Row echelon form matrix.

Q: Give bases for row(A), co(A) row (A) K(A) -3 41

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Q: 3. Find bases for the nullspace and row space of A. 6 4 -1 -2 5 7 A = 1 3 -1 2 4 5 1 -2 0 3 9 -1 -1…

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Q: If vectors a, b and c are coplanar, show that ↑ ↑- ↑ 11 C -->> a. a a.b a c= 0. ↑ ↑-

A: Introduction: Coplanar vectors are those in a three-dimensional space that are on the same coplane.…

Q: If A is diagonalizable, then A is similar to D. Select one: O True O False

A: Given   if matrix a is diagonalizable then A is SIMILAR  to D

Q: 2 C.)0 D. 1 -1 -5 --2 1 1 4 3 1 -12 1. Let matrix B = -2 What is the reduced row echelon form of B

A: To find the reduced row echelon form of B

Q: 2. Let A = a₁ + a2j + a3k and B = b₁i + b₂j + b3k. Then (A × B) . j is equal to a) a2bვ — a3b2 b)…

A: A=a1i+a2j+a3k B=b1i+b2j+b3k.

Q: Fill in each blank so that the resulting statement is true. If v = a,i +b,j and w = a,i + bj are…

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Q: 12. Find bases for the row space and column space of A. 1 4 9 22 2 7 16 A = 6-3 3

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Q: Give bases for row(A), col(A), and null(A). 1 1 -4 0 2 1 1 -1 -5 row (A) col(A) null(A) A =

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Q: Let A be a 4x3 matrix, B be a 3x3 matrix, and C be a 3x5 matrix. Give the size of ABC. a) 4x3 b) 3x5…

A: Matrix multiplication

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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Q: 1. For the following matrix, find the vectors which span NulA. -3 -21 6 4 -2

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Q: Give bases for row(A), col(A), and null(A). 1 0 -1 1 1 2 row(A) col(A) null(A) A = 3 LT 씀

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Q: Let A be the 100 by 100 matrix such that the i, j entry of A is i+j. Also, let B be the 100 by 100…

A: here we solve the solution of part a)