33-6 -26] A = 33 8. 21 39 -8

Q: Give atleast 3 examples of each type of matrix: 1.Row Matrix 2.Column Matrix 3.Vertical Matrix…

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Q: Suppose the trace of a matrix is equal to 10. If this matrix is also an identity matrix, how many…

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Q: use some form of technology to show that the given matrix is nondefective

A: Given : A=ababababa To Show : A is non-defective.

Q: define: zero matrix

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Q: Define Square matrix?

A: A matrix is the arrangement of data in rows and columns.

Q: why is the matrix like that?

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Q: Show that a square matrix which has a row or a column consisting entirely of zeros must be singular.

A: Consider a square matrix A=000123456 and B=140250360 Here, all the elements of first row of the…

Q: What is the rank of the matrix?

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Q: Describe the column space of a reduced row echelon matrix R.

A: Leading 1: When the leftmost entry in a row is 1 and all the entries above and below of the leading…

Q: 3. Diagonalize the matrix: 1 1 0 1 0 1 1 1 1

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Q: A is a matrix and there's a vector x, and Ax is defined. Can the equation Ax=0 have no solution ?…

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Q: Let (A-2)-1- where / is the identity matrix,then A= Select one: a. 0 3 7 3 2 2 3 3 REDMI NOTE 8 PRO…

A: Explanation of the answer is as follows

Q: Disprove that the rank of a matrix is equal to the number of nonzero rows.

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Q: Prove that the identity matrix cannot be the product of three row exchanges ( or five). It can be…

A: An identity matrix is a square matrix of any order which contains on its main diagonal elements with…

Q: Explain row vector in a 1 x n matrix?

A: To analyze row vector in a 1 × n matrix.

Q: Suppose B = QRQ-1, where Q is orthogonal, and R is upper triangular. Show that if B is symmetric,…

A: Given that B=QRQ-1 where, Q is orthogonal and R is upper triangular. Then, multiply Q on both sides:…

Q: Show that the inverse of a nonsingular lower triangular matrix is lower triangular.

A: We have to prove that inverse of a nonsingular lower triangular matrix is lower triangular.

Q: How do you know whether a matrix is invertible?

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Q: A diagonal matrix is a square matrix that if rotated to give the original matrix 1- right 2-Error

A: a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term…

Q: 3. Can a square matrix with two identical rows be invertible? Why or why not?

A: Solution: An invertible matrix is a square matrix that has an inverse and the square matrix is…

Q: ging %3D

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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: Can the null space of a 3 × 6 matrix have dimension 2? Explain.

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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: Prove that a 2×2 matrix transforms any straight line into a second straight line and points on the…

A: Let the 2×2 matrix be A=a11a12a21a22 which is the matrix of a linear transformation T:ℝ2→ℝ2. Let the…

Q: Let matrices A,B,C store factory value of 3 items for the last 20 years, and D,E,F store sale value…

A: Given that, matrices A,B,C store factory value of 3 items for the last 20 years and D,E,F store sale…

Q: Can arrowhead matrix be similar to a tridiagonal matrix?

A: An arrowhead matrix is one that is a square matrix with zero entries everywhere except on the…

Q: Determine whether the following matrix is invertible by finding its determinant. 4 -14 -56

A: Consider the matrix 14-14-56

Q: If a 6 x 6 matrix contains 19 zeros, show that there are 4 zeros which are all in distinct rows and…

A: A 6x6 matrix has 36 entries. Given if a 6x6 matrix contains 19 zeros, then to show that there are 4…

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.