Let A X = = −1 1 -1 −1 −1 1 -1 -1 -1 −1 1 1] 1. Find a non-zero vector x in the null space of A. −1 1

Q: Identify the maximum value and the corresponding unite vector of the quadratic form Q = x1 3a²³ —…

A:

Q: The set ((x,y) : × 20, y 20) with the standard operations in R in not a vector space.

A:

Q: Which one of the following series is conver- gent? 1. 3. Σ n=1 8 2. Σ (-1)2n, n=1 5. (-1)¹-1 2+ νπ 2…

A: The given series, 1. ∑n=1∞-1n-12+n 2. ∑n=1∞-12n14+n 3. ∑n=1∞-1314+n 4. ∑n=1∞-1n-12+n1+n 5. ∑n=1∞41+n…

Q: 1 2 0 0 3 1 -1 2. Express 14 as a linear combination of the columns of A = Then 2 0 0 1 find a…

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: Let x 4 || - N and y = Find the vector v = 3x - 4y and its additive inverse. 18 [2] 4

A: The additive inverse of a vector v = <a , b> is  - v = <-a , -b>

Q: Let [1 A = 3 1 2 0 1 2 2 Find all vectors in the null space of A. 1013

A:

Q: a non-zero vector in the column space of A. A = -16 -4 0 -16 20 -20 -4 5 -5 20 0 25

A:

Q: Find the null space for A. = [1 null(A) A = 15-5 0 1 -³] 3 = span

A:

Q: Let [1 A = 3 1 2 0 1 2 2 10 13 Find all vectors in the null space of A.

A:

Q: 2 3 [+0 4 2 b = -2 Select true or false for each statement. Let A = and c = [12] 1. The vector c is…

A: The objective of the question is to determine whether the given vectors b and c are in the kernel…

Q: be the vector space of all polynomials of degree 3 or less in the variable z. Let PI(T) 2+x+1²,…

A: In this question, we check the given set forms a basis or not. Then we use elementary transformation…

Q: Determine whether the following set of polynomials is linearly independent (1 – t)?, t – 2t2 + t³,…

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: Find bases for the column space, the row space, and the null space of matrix A. You should verify…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Let [1 A = 3 1 2 0 1 2 2 Find all vectors in the null space of A. 1013

A:

Q: Suppose A E M(R). Write A = (a₁ | |ax). a. A vector x ER is in the null space of A if (select all…

A:

Q: Let A = -2 -2 5 5 -5 -2 Give a non-zero vector in the null space of A. -5 -2 -1 5 5 1 2

A:

Q: Show that u and v are orthogonal if and only if ||u+v|| 2 = ||u|| 2 + ||v|| 2

A:

Q: = If w₁, W2, W3 are independent vectors, are the sums V₁ = W2+W3 and V₂ W₁ +W2 independent or…

A: