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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?

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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.

Know more about matrix here:

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