Non-Commutative Matrix Multiplication

Calculate the product of the matrices [[1, 2], [3, 4]] and [[5], [6]].

• [[17], [39]]

• [[20], [30]]

• [[15], [35]]

• [[10], [24]]

If for a square matrix A and B, null matrix O, AB = O implies BA=O.

• true

• false

Which of the following property of matrix multiplication is correct?

• multiplication is not commutative in general

• multiplication is associative

• multiplication is distributive over addition

• all of the above

Let G denoted the set of all n x n non-singular matrices with rational numbers as entries. Then under multiplication G is a/an

• Sub group

• Finite abelian group

• Infinite,non abelian group

• Infinite,abelian

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