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 whether the set of all 2 x 2 nonsingular matrices, together with matrix addition and…

A: See the solution below.

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

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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: If you are given a matrix M such that M = [p 4 5 q 5 4  r 0 5] , define the vector [p q r]…

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Q: 9 One requirement can be met while the other fails. Show this by finding (a) A set of vectors in R²…

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Q: 5) Give an example of matrices D and F where DF is defined, but FD is not, and clearly explain why…

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Q: Example: f=(f¹, f²): R³ → R² (-6) T1I2X3 that is, f¹(x) = x₁²² and ƒ²(x) = 1₁T2Tz. Then the Jacobi…

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Q: Which of the following is not a vector space?    A. The set of all 2x2 with integer entries and…

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Q: 2 (True false) [3 4 4 3 is an or the gonal matrix ?

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Q: If the RREF of All is || B, then AB is the identity matrix. A) True B False

A: Given: The row reduces echelon form is A:I is I:B. We have to check whether AB is the identity…

Q: Explain why A = [43²] and B = [144] -1 -18 form a linearly dependent set of vectors in M22. (Solve…

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Q: For the following matrices (or vectors) are given in Cartesian coordinates: 1½/21 A = [-4 3]…

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

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

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

Q: a) Prove the following identity. (Do not use Examples.) (A+B+C)° = A" +B" +C" b) Is the product of…

A: Consider the given information. (a) Consider the left side of the equation. A+B+CT Simplify, the…

Q: Find the inverse of the following matrix by using Adjoint Method where |A| = 4c + 10. A = c+1 0 2 1…

A: If A is an invertible matrix, then its inverse will be:                      A-1=1AadjA where,…

Q: Problem 5. Consider the matrices and vectors below: (d) BA A = (g) 4z + 2x 1 -1 9 8 0 -1 0 1] 0 3 -4…

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Q: PS2.4 Compute the matrix-vector products Ax below by definition (see the definition on page 2 of…

A: Ok

Q: 5.6. Are the polynomials 1-2x+3x², 2+x-x², 1-2x+x² linearly independent in the vector space P₂? If…

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Q: Hi, please see  the image attached and answer the questions that follow. also please use working and…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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: 6. Suppose that A, B, C are n x n matrices and ABC = I. Find A- in terms of A,C 7. For any non-zero…

A: (A) To find A-1 in terms of A, C if ABC = I and A, B, C are nxn matrices. (B) To determine whether…

Q: For each of the following statements, indicate whether it is true or false. 2. justification is…

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Q: Explain why the statement, "Others give 0", in the attachment is true.

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: Statement: "Let A and B be n x n matrices, where the columns of A span IR" and B is not equal to the…

A: The given statement is false.

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…