We now form a matrix Y consisting of the column vectors X₁, X2, X3 from question 1: -3 2 0 0 2 -3 0 0 -5/ .1 Y = - ats] Does the matrix Y represent a linear vector function from row R³ to column R³, or, column R³ to row R³? Can you write an expression to help us understand your answer to this question? ints] What is the "sign" of the quadratic form q = x'Yx.

Q: How to calculate the cross products of vectors ? = {3,4,7} and ? = {4,9,2}?

A: GIVEN: Two vectors {3, 4, 7} and {4, 9, 2}

Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3,2,1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

Q: A shopper buys cat food in bags of 3 lbs. Her cat eats 3434 lb each week. How many weeks does one…

A: Given that A shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 lb each week

Q: A = [-2,4,-2,-4,        2,-6,-3,1,        -3,8,2,-3,        0,2,5,3]  Find a non-zero vector R^4…

A:

Q: Determine whether the following statements are true or false. Justify your answers. (a) When u and…

A:

Q: Which matrix could be used to rotate a vector 64 degrees clockwise about the origin? cos (-64) sin…

A: we have to find  matrix could be used to rotate a vector 64 degrees clockwise about the origin.

Q: How do I find the magnitude of  this vector?

A:

Q: Do question one only

A: (a)…

Q: Find the length of the vector x=x= |x|=|x|=

A:

Q: Find the volume of the parallelepiped determined by the vectors a č = (2, 4, 1). (3, 5, – 1), 6 =…

A: The volume, V , of a parallelepiped is calculated using the scalar triple product, V=c·(a×b) . Use…

Q: find the diJ tance betueen the vectors

A:

Q: what are the endpoints of vector v - u?

A: v = (-6,-7)u = (1,-3)

Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3, 2, 1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

Q: Determine whether the set, together with the indicated operations, is a vector space. If it is not,…

A:

Q: Express the vector 12 x+ÿ. = [15] as a linear combination of a = 2 1 and y= -17 -2

A: Given

Q: How did you get the vectors and to get a cross product for a perpendicular vector to i+j and j+k.

A: How did you get the vectors <1,1,0> and <0,1,1> to get a cross product for a…

Q: Find all vectors u that satisfy the equation x u = can you please shows some specific steps, I am…

A:

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOS S =…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: 2) Subtract the (2) vectors; (4, 6) & (-8, -10)

A: The given vectors are 4, 6 and -8, -10 We need to subtract the given vectors.

Q: Let a and b be two unit vectors. 1) a x (a.b) 2) a . (axb) 3) a . (a+(axb)) 4) (axb) + (bxa)…

A:

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: we will write the given vector as linear combination of vectors in as and find the unknown…

Q: determine if the following pair of vectors is linearly dependent or linearly independent. show all…

A: Step 1: Step 2: Step 3: Step 4:

Q: why is it not all 4 vectors span W?

A: Lets look at how span of a set is defined :

Q: 4) Consider the vectors u = [3, -2] and v= [-5, 4], write a = [-24,18] as a linear combination of u…

A: The given vectors  and .The objective is to write the vector  as a linear combination of  and .

Q: Determikne the values of c for which the vectors 2+2t+1: 2-t:2+t+ c2 linearly independent?

A: Given :S={t2+2t+1, 2-t, t2+t+c2}