7. Givep that D- then N(D) contains B . All vectors that All vectors that belong to both N(A) and N(B) . All vectors that belong to N(A+ B) 4 All vectos that belong to N(AB) belong to N(A) N(B)

Q: Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the…

A:

Q: Find the area of the triangle determined by the points P, Q, and R. Use * .the cross product of…

A:

Q: Let v1= 2,5, 3 ) , v2 = ( 1, 1, 1 ) and v3 = (4 , -2 , 0 ) are vectors in R3 then are .a Linear…

A:

Q: AB, BC, AC.

A:

Q: Three unique non-zero vectors a, b, and C are defined by four points in space. Select all of the…

A: Proceed as shown below

Q: Let W be the set of all vectors of the form ū = H V = [-5s- 2t] 5s + 3t 5s + t . Find vectors ū and…

A: Let S={u,v} be a linear independent set and generate W . Then W=span{u,v} .

Q: 5. Let S = {V₁, V2,..., Un}, n ≥ 2 be a set of nonzero vectors of V. Each of the following…

A: Given,  S= { v1 , v2 , v3 , ...... ,vn } , n>=2 is a set of nonzero vectors of V .

Q: Determine whether the set of vectors orthonormal, or neither. O orthogonal O neither {(√².₁. √²)( √6…

A:

Q: Determine whether the set of vectors is independent or dependent. If it is de- pendent, eliminate…

A:

Q: Let a and b be vectors in R" such that ||a||=|| b||=2 and (a,b)= — . Then ||a - b||= ...

A:

Q: Let a and b be vectors in R" such that ||a||=||||= 2 and <a,b)=3. Then ||a-b||= ..

A:

Q: Solve y′′(t)−2y′(t)+5y(t)=H(t);y(0)=0 ;y′(0)=1;wherey′′(t)−2y′(t)+5y(t)=H(t);y(0)=0 ;y′(0)=1;where…

A:

Q: 4 r 1 by -1 -2 -3 -4 -5 -4 -3 -2 -10 1 2 3 4 5

A: First we find p, q, r and s. Then solve it.

Q: 2. Let a, b, c, and d be algebraic vectors in R3, For parts (a) and (b) below, state which theorems…

A: The dot product of the two vectors A→ and B→ is given by the following: A→·B→=||A→||·||B→||·cos θ…

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: ()-(G) *-() --() 2. Which set of vectors below are linearly independent: V,= Select one: O A. none…

A: We have to find which set of vectors are linearly independent.…

Q: Show that if u and v are vectors in the three-space, then ||u x v||? = ||u|| ||||² – (u · v)²

A: u and v are vectors.

Q: It is known that two vectors are equal and represented by A- (2+3x)i + 11j and B- -7i + (3x + 2y)j…

A: if two vectors are equal then coefficients of I and j are same.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: State whether the vectors are parallel, orthogonal, or neither. v = 2i + j, w = i - 2j O Orthogonal…

A:

Q: Find the vector product (a*b) of the * two given vectors a= 2i+3j+4k, b=3i+5j, here i,j&k are unit…

A:

Q: -3 -3 9. 2 Let A = -3 -6 12 and b = 3 -3 -2 13 -5 Denote the columns of A by a1, a2, a3, and let W =…

A:

Q: Edit 396 V396 Edit 396 396 show Work for this question: Modify Show Work

A: Given 3 vectors, u=5, 4, -5, 0, v=-1, -1, 1, -1, w=3, 2, 4, 5 Let,  x1=u-v=6, 5, -6, 1x2=u-w=2, 2,…

Q: Consider the vectors v₁ ví = (1,2,3,0), v = (0,1,2,3) and vg = (2,3, 4, -3) Let (1, 1, 1, 1) w (a)…

A:

Q: Let u, v and w be three vectors in R³. Which of the following is not defined for all u, v and w?…

A: Here u , v and w are three vectors in R3.  We find which of the given is not defined for all u , v…

Q: Let Q "Ax – x'b – C be such that A is positive definite. | Which of the following statements is…

A:

Q: →→→ Let x, y, z be vectors such that x X X y x z →→ = a; y x ➜>> Z X X y = b and ° {(+5) x = -(-+)}…

A: It is given that x→=y→=z→=2 x→,y→,z→  makes angle of 600 with each other.x→×y→×z→=a →  ; y→×z→×x→=b→…