I need to explain why V is not a vector space over F with respect to the given operations below. I just need to flag one space axiom that fails. In the case below, I cannot find any failing axioms and wonder if it is a trick question, or just erroneous question. V=M2x3(R), F=M2x2(R), the usual matrix addition and matrix multiplication.

Q: Determine if the vector u is in the column space of matrix A and whether it is in the null space of…

A: 1.A vector v is in the column space of a matrix A if AX=v has a solution(X satisfying the equation…

Q: 5. For each of the statements given below decide if it is true or false. If it is true explain why.…

A:

Q: (ExC) Let A be an men Matrix and let Vi, Vz,., Vp be vectors in IR". If vi, Vz,., Vp are linearly…

A: Linearly dependent set

Q: Let A = 1 3 -3 0 V1 = 2. Find a basis for Nul(A)+. 0-2 A basis is {v₁, v₂} where V2 ||

A:

Q: If A is a 31x24 matrix whose rank equals 10, find dim(Nul(AT)). Your Answer:

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: a) DTb) Upper triangular matrix.Explanation:

Q: 3) For Boolean matrices X and Y, under what conditions does X V Y = X ^ Y? = Consider the 1 × 1…

A: Boolean matrices X and Y.

Q: 7. Provide a justification for your response to the following statements or questions. b. True or…

A: We need to give the justification for the given, that weather each statements (b),(c) and (d) are…

Q: Find an explicit description of the Column space and null space of matrix A. 1 -2 -5 -2 3] * Please…

A:

Q: Mathematically qubits are represented by column vectors and the logical operations to manipulate…

A: Given the basis of the single-qubit as h as 0=10 and 1=01. (a) The X-gate is given X=0110.

Q: Which do you find easier? 3 1 (₁ - ( ) -- (3) (a) A = B = -1 1 1₁- (b) A = ()--(²3) B = -2 15 2 2-2

A:

Q: 4. Let M (for matrices) be the set of all 2 x 2 matrices over the reals and x, y ∈AM. Does…

A: This statement is not true.

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

A:

Q: Part 1: Solve the problem. ^1 = [:)]·²² - [ ]· ³³ - [ ³ ]· , = , V3 = Determine if the set {V₁, V2,…

A:

Q: 1. In your own words, explain how operators relate to matrices and vice versa. Explain the…

A: Operator: An operator is the mapping between the elements of two spaces. There are many types of…

Q: Prove the following statement. Your work should be legible, and all your logic should be clear and…

A: We are given the following statement: "A square upper triangular matrix is invertible if and only if…

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

A: