(d) Give a vector in Col(A) that is not in Col(U). Justify your answer.

Q: What are Sub-matrices?

A: A matrix is an arrangement of a real or complex number in rows and columns to form a rectangular…

Q: list 2 matrices that commute with all n x n matrices

A: Scalar matrix is the only matrix which commute with all matrices   Let A=kI is a scalar matrix ,…

Q: Let A₁, A2, and A3 be matrices such that det (A₁) = -3, det (A₂): det (A₁ A2 A3) = Number = 4, and…

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Q: Let A and B be two square matrices of the same size. Suppose B is singular. Explain why AB is also…

A: Given Information: A and B are two square matrices of same size. Suppose B is singular. To show: AB…

Q: 31. If A and B are n x n matrices, then the diagonal entries of the product matrix AB are…

A: Matrix multiplication is possible only when the number of columns of first matrix are equal to the…

Q: elementary

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Q: Is the produ ct elementary. matri ces dalways OF two an swer. elementary ? Sustify your

A: The product of elementary matrices need not be an elementary matrix. Recall that any invertible…

Q: What is the rank of the matrix?

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Q: Construct six linearly independent 3 by 3 echelon matrices U1, ... , U6.

A: To Find : Construct six linearly independent 3×3  echelon matrices.

Q: of a matrix is the factorization of a given square matrix into two triangular matrices.

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Q: What is the name of the matrix, Sij?

A: Sij is called as similarity matrix.

Q: Let A and B be 3 × 3 matrices such that det (B) = -2 and 27 = det (-3AB A" B ²). 2 Find det(A).…

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Q: I cant understand what's going on. can this be explained with matrices?

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Q: しt A and B be similar inrertiblo matricen Ghow that and B" are rimilar

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Q: 2. a) Let A = answer. [2]. Find the matrices A² and A³. What can be the matrix A"? Justify your -11

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Q: All elementary matrices are lower triangular matrices Select one: True False

A: The given statement is False. Because we can get elementry matrix by identity matrix by applying the…

Q: To illustrate the multiplication of matrices, and also the fact that matrix multiplication is not…

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Q: 15. Diagonalize the matrix A = 11 expressing it similar to a diagonal matrix D. "

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Q: What is the term matrices

A: Matrices :- A matrix is an ordered rectangular array of numbers or functions. The numbers or…

Q: What is the linear combination of the matrices аnd

A: The explanation are as follows

Q: rank of the following matrices: 2 1 3 B= 20 2 1 1 2

A: We have to find out

Q: Explain the mandatory conditions for the addition of two matrices?

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Q: Explain the process of determining a minor in a matrix?

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Q: N.N て1 て てー -3 こ 1. そー ) Find oenk of the matrix p

A: See the attachment

Q: Determine if the pairs of matrices A and B are similar. (5 1) (3 2) B = 2 1 a) A= 4 5

A: We will answer the first question as we don't answer multiple question at a time. Please resubmit…

Q: 3 - 3 1 /- 1

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Q: Show the concept of addition of matrices Along with an example.

A: Consider two matrix A and B of same order say 3*3.

Q: Find matrices A and B for which rank(A) = rank(B), but rank(A?) + rank(B²).

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