Consider the linear map T: M, ,- R° defined by 2a+b a b c d 2c+d Find either the nullity or the rank of T and then use the Rank Plus Nullity Theorem to find the other: nullity(T) = rank(T)

Q: D-H 3,V2 = (a) For what values of h is v3 in Span {V1, V2}? Justify your answer. Problem 3. Let V₁…

A:

Q: Let →a=a→= and →b=b→=. Find kk so that →aa→ and →bb→ will be orthogonal (form a 90 degree angle).…

A: We Know that, Two vectors u and v are said to be orthogonal vectors if and only if u . v=0 Here, a =…

Q: Determine if a relation is symmetric about the y axis: 36x² + 25y² = 900

A: Follow the procedure Given below.

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

A:

Q: _et a₁ = -1 a₂= -7 -7 3 and b = 3 -15 h For what value(s) of his b in the plane spanned by a, and a

A: If b is in the plane spanned by a1 and a2 then b can be written as linear combination of  a1 and a2…

Q: Determine which of the following sets are linearly independent. V = -3 5 7 V and U U only V only…

A:

Q: A bird takes exactly two minutes to fly linearly from P(3,8,4) to Q(7,4,-3). Assuming that the bird…

A:

Q: Let L₂ be the line passing through the point P₁=(-3, -1, -2) with direction vector -[0, 3, 3], and…

A:

Q: ent, find a linear relation. a) vi = (2, 1, 0), V2 = (0, 1,0), V3 = (-1,2,0) %3D b) wi = (1,2, –2),…

A:

Q: Let a, 1 1 -7 -7 3 and b = 3 15 h For what value(s) of h is b in the plane spanned by a, and a₂?

A:

Q: by the equations { L₁ : X Y Let L₁ and L2 be lines in a 3-dimensional space given { = = Z = 3 + 2t…

A:

Q: Let a be a real number such that a opposit to 0 . An equation of the plane passing through A…

A: Given data:- Plane passing through the points, Aa,-a,-aBa,0,2aC-a,-a,-5a

Q: market study determined that for each unit a good is sold Hi-Fi electronics the unit price of it…

A: Part (a) P0 = Price when no unit is sold = 8,360 Rate of decline of the price = m = 380 Hence, P(Q)…

Q: Let a, b and c be the first three non-zero digits of your Banner ID number and consider the points P…

A: Due to Bartleby answering guidelines I have solved only first three Subparts of the given question…

Q: 3- Show that {(1, 1, 0), (0, 1, 1), (1, 2, 1)} is a linearly dependent set in R3. (H.W)

A:

Q: Find the cross product a × b. a-i-j-k, b-tj+* Verify that it is orthogonal to both a and b. (a x b)…

A:

Q: Let P₁ = (2, 4, 2), P₂ = (1, -2, 0), P3 = (4,3,0) be points in R³. Find the general equation of the…

A:

Q: ther the space curve given by r(t) = (2t², t² + 2t - 8, t - 2) intersects the x-axis, and if it do…

A: Given space curve We have to determined whether it intersects x-axis or not?

Q: a. Show that |X — х У1 - у Z1 X2 - x Z2 - z = 0 Y2 - y |Xз — х Уз — у 23 — is an equation for the…

A:

Q: -6- and v3 3 7. Let vi , V2 = 5 9 2 -2 6. (a) show that {v1, V2, V3} is linearly dependent. (b) Find…

A:

Q: 1) Establish two linear functions shown below and find X and Y coordinate of the intercept P of two…

A: