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Q: Count the number of operations involved in multiplying two n x n matrices.

A: Since n x n matrices using the standard matrix multiplication algorithm. Say you have two square…

Q: Explain Row matrix and Column matrix?

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Q: Describe the procedures to find the factor of a matrix, matrix norm, column norm and row norm.

A: Factor of a matrix: Let, A=1abc1bca1cab Performing row operations on it, 1abc1bca1cab…

Q: Diagonalize the following 3x3 matrix. [ {3,3,3},{3,3,3},{3,3,3}]

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Q: How do we multiply two matrices?

A: To Explain : How to multiply two matrices?

Q: Explain the fact Every rank one matrix is one column times one row.

A: Every rank of a matrix is one column times one row is not accurately correct.

Q: Explain Equality of matrices. Give a suitable example.

A: Equality of matrices:Two matrices are equal if all three conditions given below are satisfied: ·…

Q: How do you find an inverse of an elementary matrix (especially 3 x3 rows)?

A: Elementary matrix is those matrices that differ from the identity matrix from a single elementary…

Q: Find the rank of the matrix: 321 3 43 -1 2 2

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Q: Explain the Elements of Matrix Algebra: Addition and Multiplication?

A: Matrix addition: The addition of two matrices is defined if and only if the order of both matrices…

Q: Illustrate the Skew-symmetric matrix ?

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Q: Find the inverse of the matrix:                    3 3 4                    2 3 2…

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Q: Explain an example of elimination matrices.

A: Let us consider the matrix A=0231212-1052012-1. Now we will find its row echelon form.

Q: Describe The Exponential of a Matrix.

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Q: Consider the following matrices: 4 4-[ A = 1 Find a matrix B such that and a matrix C such that 5 4…

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