Show that the polynomials in the set do not form an orthonormal set.

Q: Suppose that {x1, x2, x3} is a linearly independent set of vectors in a vector space V . Must {x1,…

A:

Q: Let B={(1,-2,1), (4,-7,5), (5,-8,8)], and x=(-6,10,-7) Find [x]B

A:

Q: Let y = and u = Write y as the sum of two orthogonal vectors, y, in the span of u, and y, which is…

A: Solution

Q: Suppose A is a 2x2 invertible Martix. Is the following statement true or false?  For each vector b,…

A:

Q: Show that A= 4 * eye (4) - ones (4, 4) is not invertible: Multiply A* ones (4, 1).

A: We have to show that:  A= 4 * eye (4) - ones (4, 4) is not invertible

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

A:

Q: Suppose v1, v2, v3, v4 span a vector space ?. Prove that the list v1 − v2, v2 − v3, v3 − v4, v4 also…

A: Let V be the vector space Since v1,v2,v3,v4 span the vector space V.

Q: Let u1 = (1, 3, 2, 1), u2= (2, −2, −5, 4), u3 = (2, −1, 3, 6). If v = (2, 5, −4, 0), write v as a…

A:

Q: On the interval [-3, 3] (x², x) = / dx = 1 ||x²|| = dx II

A:

Q: Let p(x) = a + a₁x + a₂x² and g(x) = bo + b₁x + b₂x² be vectors in P₂ with (p, q) = aobo + a1b₁ +…

A:

Q: Explain why v = ( 1, 0, -1) cannot be a row of A and also in the nullspace.

A:

Q: let p(x) = a0+a1x+a2x2 and  q(x) = b0+b1x+b2x2 be vectors in P2 with inner product =…

A:

Q: 8.) Find a vectorx such that 5x-2v=2(u-5x) SOLUTION

A:

Q: ^2

A:

Q: Express the Vector x as a linear combination of the U's U₁ Gl , 02 [1] ·16

A:

Q: Determine whether W = {ao + a1x + a2x² + a3x°|ao + a2 = az ɑ1} is a subspace of P3.

A:

Q: Notations That Represent A Line

A:

Q: Consider below presented polynomials v1, v2, v3, v4in P2. v1 = 2t2 + t + 2 v2 =t2 - 2t v3 =5t2 –…

A:

Q: Determine if the vector product = a0b0 defines a valid inner product on P2(R) for any…

A:

Q: Let p (x) = ao + a1T+azx² and q (x) = bo + b1x + b2x² be vectors in P, with inner product =…

A: Orthonormal set: The set of vectors is said to be orthonormal if 1. 2. Given:  and then .

Q: the acdjainbaf square of As of 2.

A:

Q: 4. A = [! -6 4 07 020 %]

A: Nul( A) i.e null space of A

Q: Let V be the set of all ordered pairs of real numbers (u1, u2) with uz > 0. Consider the following…

A: Let V be the set of all ordered pairs u1,u2, u2>0  i.e. V=u1,u2∈ℝ2:u2>0 Consider the addition…

Q: Show that the set of all real polynomials with a degree n ≤ 3 associated with the addition of…

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.