give an example of a matric whose inverse is the same matrix.

Q: Convince yourself that matrix addition is commutative and associative. Then explain.

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Q: why is the matrix like that?

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Q: Provide an example of an elementary matrix for each of the three types of row operations and clearly…

A: The three types of elementary row operations on a matrix : (1) Interchange two rows (2) Multiply…

Q: What is zero matrix, explain each entry of which is zero?

A: Given problem:- Explain Zero matrix

Q: Can you please explain elementary matrices

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Q: Define the term matrix equation.

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Q: Show an example that the scalar multiple of a diagonal matrix is also a diagonal matrix. Put brief…

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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 how to determine whether the inverse of a matrix exists. If so, explain how to find the…

A: The inverse of a matrix exist if  ad−bc≠0 that is |A|≠0 , then A−1 is well defined and so A is…

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: What is the multiplicative identity matrix?

A: According to the question, we have to define the multiplicative identity matrix. As the above…

Q: Define properties of matrix , Explain each of the analogous to a familiar algebraic property of the…

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

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Q: Illustrate the Skew-symmetric matrix ?

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Q: Explain the difference between matrix multiplication and scalar multiplication.

A: Given Information:Two terms are defined as “Scalar Multiplication” and “Matrix…

Q: Define the term Coefficient matrix.

A: Define the term Coefficient matrix.

Q: What do 2 × 2 matrices represent graphically?

A: 2 × 2 matrices represent:

Q: Explain the rank of a matrix?

A: The rank of a matrix is defined as the maximum number of linearly independent column vectors in the…

Q: What is Inverse of a Matrix? Concise explanation only.

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