Matrix a is a 6 × 5 matrix. which order of matrix can be multiplied by matrix a to create matrix ab?

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04-08-2022
Mathematics

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Matrix a is a 6 × 5 matrix. which order of matrix can be multiplied by matrix a to create matrix ab?

Sagot :

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tutorconsortium33 tutorconsortium33 · Answer 1 · 2022-08-10T06:09:15-04:00

Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

What is a matrix?

A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.
For instance, consider a matrix with two rows and three columns.

To find the order of matrix:

We must first check the dimension of two matrices, say matrix A by matrix B, before we may multiply them.
Multiplication is achievable if the number of columns in the first matrix, A, equals the number of rows in the second matrix.
Dimension is assigned to the provided matrix: 6 × 5
This means the given matrix contains six rows and five columns.
As a result, the second matrix MUST have 5 rows in order for multiplication to be POSSIBLE.
The only matrix with 5 rows among the above alternatives is the matrix with dimension (B) 5 × 6.

To prove:

In other words, the inner products of the dimensions should be equal.
That is; (a × b)(b × a) is possible but (a ×b)(c × b) is impossible.
The dimensions of the matrix are given by, row × column.

Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

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Sagot :

What is a matrix?

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