Determine whether the set of all 3×3 diagonal matrices with the standard operations, is a vector space. If it is not, then determine the set of axioms that it fails. O a. This set is a vector space. All ten vector space axioms hold. O b. This set is not a vector space. It fails the following axioms. Closer under addition Closer under scalar multiplication O c. This set is not a vector space. It fails the following axioms. Additive identity Additive inverse Associative property Scalar identity O d. This set is not a vector space. It fails the following axioms. Commutative property Additive identity Distributive property e. This set is not a vector space. It fails the following axioms. CS Salar identity Associative property Distributive property with CamScanner

Q: Mark each statement True or False. Justify each answer. Complete parts (a) through (e) below. .....…

A: As per guidelines, we will solve only first three subparts. Kindly repost other subparts separately.

Q: Find basis of the column space of the following matrix: A 11 5 -5 -5 3 -7 3 3-9 -4 6 6 0 -9 6 6-9

A:

Q: Find a basis for the null space of the matrix 2 2 2 4 1350 1 2 3 1 A

A:

Q: b. Set up the product Ax using the row-vector rule. Select the correct choice below and, if…

A: b Given: A=65-5-3735-3 Here, A is 3×2 matrix. X is 2×1 matrix. As, The number of column of A=2= The…

Q: Which of the following statements is (are) true? OD) The set of polynomials of the form f(z) = ao +…

A: check for option B:check for option A:

Q: Consider the set of all 3x3 matrices. Prove that with standard addition and standard multiplication…

A: The given question is solved below.

Q: Let S be the set of matrices of the form a -a :). -b b where a and be R. The vector addition and…

A:

Q: Use the matrices below to perform the indicated operation if possible. B= If the operation is…

A: Solution

Q: Assume that the matrices are conformable for block multiplication and compute the product of the…

A:

Q: Draw the arrow diagram for each composition of relations S and T represented by matrices: S: 101 T:…

A: The two relations S and T represented in matrix form are  S=    101            011…

Q: Find a basis for the column space of the matrix A || 102 2 14 326

A: Linear transformation

Q: 1. Let V be the set of all 2 x 2 matrices A= a. Is V close under addition? Show your proof. b. Is V…

A:

Q: ven a matrix A in its RREF form 0 A=1 0 0000 ܘܘܘܘܐ 1 €0-000 ooow 00100 0 0 Tota Compute the bases…

A:

Q: Which of the following is not a vector space? (; :) A. The set of all 2x2 matrices of the form with…

A: Solution:-

Q: In the inner product space of 2-square matrices, with the inner product <uv2 trlu the two matrices…

A:

Q: 1.) Let V be the set of all 2x2 matrices A = [] such that the product abcd = 0,1 as the operation…

A: