A 3x4 matrix A has Rank 1, then dim NUTLA %3D

Q: If a 3 × 8 matrix A has rank 3, find dim Nul A, dim Row A, and rank AT.

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Q: Find a 2 x 2 matrix A for which {;}. 5 E1 = span = span

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Q: The reduced row echelon form of the matrix A is I3 . Describe all possible matrices A.

A: Consider the reduced row echelon form of a matrix A is I3. We need to determine all possible…

Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4 -8 8 -4 A = 8 - 14 11 -5…

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Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4. A = -4 -3 L U

A: We have to find L and U matrix.

Q: Construct a 4x3 matrix A with rank 1. Select the correct choice and, if necessary, fill in the…

A: We construct a 4×3 matrix A with rank 1.

Q: Find the reduced echelon form of this augmented matrix: please show work 1 2 -3 300 0 1 0 250 0 -1…

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Q: If a 6 x 3 matrix A has rank 3, find dim Nul A, dim Row A, and rank AT .

A: We are given that a 6x3 matrix A has rank 3. So, dim(Row A) = 3. We know that dim(A) = dim(Row A) +…

Q: A square northwest matrix B is zero in the southeast comer, below the antidiagonal that connects (1,…

A: It's a very conceptual question and will need lots of grey matter. Please read the question…

Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4 A= 12 2 -0 12 8 4,

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Q: Give an example of a 3 x 3 lower triangular matrix A that is not diagonal. A =

A: We write the 3x3 lower triangular matrix which is not diagonal

Q: Create a matrix A with the given Characteristics Dimension 3x3, IAl = 7 %3D

A: Here we create a 3×3 matrix whose determinants is zero.

Q: find an LU factorization of the given matrix.

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Q: 2 -3 -2 3 1 2 -2 -1 3 3 [ 3 2 -2

A: The given matrix is  A=  2-3-2   3  1   2-2   0-1   3   3   2   3   2   2-2

Q: What scaling matrix S (in homogeneous coordinates, so 3 by 3) would produce a 1 by 1 square page…

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Q: Find an LU-factorization of the matrix.

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Q: Suppose a 5 × 6 matrix A has four pivot columns. What is dim Nul A? Is Col A = ℝ4? Why or why not?

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Q: Find the range of a (2 × 3) matrix B with rank(B) = 2

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Q: 1. Find an upper triangular matrix that satisfies A³ = l6 = 6 )

A: An upper triangular matrix is one whose elements below the diagonal are zero. For A3 which is a 2×2…

Q: If the nulI snace of a 30x17 matrix is 13-dimensional, find the rank of the matrix.

A: We have been given the matrix which is of 30 x 17 i.e it has 30 rows and 17 columns. And it is also…

Q: Reduce the matrix to echelon form and find its rank

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Q: Suppose a 5x4 matrix has a rank 3, then the dimension of the Null space. Dimension of the Row space…

A: Multiple :    Let  A be 5 × 4 matrix . We have given that , rankA = 3. We need to find , dimension…

Q: An n x n matrix that is orthogonally diagonalizable must be symmetric.

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Q: The reduced row echelon form of a matrix is unique. Select one: True False

A: The reduced row echelon form of a matrix is unique.

Q: X1 – 2x2 + 3x3 ) 2х1 — Xә + 3хз 4x1 + x2 – x3 11 %3D 10 4

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Q: • Is it possible for a 5 x 5 matrix to be invertible when its columns do not span R°? Why or why…

A: According to the Invertible matrix theorem, the matrix with n x n order cannot be invertible if its…

Q: 32. Construct a nondiagonal 2 × 2 matrix that is diagonalizable but not invertible.

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Q: Consider the matrix -8 A = 6 0 -10 -3 whose LU factorization we want to compute using Gaussian…

A: Given: Consider the matrix  A=4-816570-10-3

Q: When two m x n matrices are said to be equal? Explain there Applicability?

A: Two mxn matrices are said to be equal if their corresponding elements are equal.

Q: Find an upper triangular matrix that satisties 307 0.

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Q: ge multiplies to find the dimensions of a rectangular box with the largest volume if the total…

A: We have to find the dimension of given rectangular box.

Q: Find the column space of the 10 × 20 matrix A if the system Ax = b is solvable for every b. Justify…

A: Note that : Ax = b has a solution if b lie in column space of A.

Q: 2x1 - 2х2 + 4хз (d) 3x1 – 3x2 + 6x3 5х2 + 2хз -3 -4 9

A: Given information: The given system of linear equation is  2x1-2x2+4x3=-33x1-3x2+6x3=-45x2+2x3=9.…

Q: If A is an invertible square matrix that is row equivalent to matrix B , then both A and B are row…

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Q: Suppose M is a (6x6) matrix such that the dimension of its column space is 5 .Then the rank of M is…

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Q: and B are square matrices with dimension 2 x 2, C is a matrix with 5 columns. What should be the…

A: Matrix CD is square matrix because A is square matrix.  And CD is define if column in C is equal to…

Q: Find the column space of the 10 x 20 matrix A if the system Ax = b is solvable for every b. Justify…

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Q: 4 Is the matrix a linear combination of the ma- 3 and 1 ? Justify your answer. trices

A: A matrix A can be expresses as a linear combination of two matrices B and C, if and only if there…

Q: If the null space of a 7 x 6 matrix A is 5-dimensional, what is the dimension of the column space of…

A: We solve given problem with the help of rank nullity theorem

Q: Find 6x6 matrix | a, that satisfies the stated condition. Make your answers as general as possible…

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Q: 3 (i);- 2

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Q: If a 2 x 3 matrix is multiplied by a 2 x 3 matrix, which of the below choices show the dimensions of…

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Q: 3. Consider 3x3 matrix A the 1 A て 1. レ Colculate the adjoint matrix

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Q: Suppose that a l10 × 8 matrix A has 6 pivot columns. Then dim(ColA)- is Ą and dim(RowA)- is

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Q: find the single matrix equal to the following

A: To find single matrix, we have to multiple the given matrix.

Q: If a 6 × 3 matrix A has rank 3, find dim Nul A, dim Row A, and rank AT

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Q: USE A MATRIX-DETEN MINATE METHOD TU SOLUE ... **gy こ4 (SOLUE fOR fiRst) ナ

A: Given, So, we can write the given equation as, The co-efficient matrix of the given system is,

Q: If A is a 3x5 matrix, what is the largest possible value for its Rank? O 3

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Q: Suppose A is a 3 x 4 matrix. If we can successfully multiply A with the matrix B, then which of the…

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Q: Find an elementary matrix E that corresponds to the row operation of subtracting – 6 times Row 1…

A: Applying elementary row operation on identity matrix I we get the elementary matrix E.Now we find 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.