Question

what is the order of the matrix B if [3 4 2] B = [2 1 0 3 6]

Answer 1

B is of order 5×5

because (1×3)(5×5)=(1×5)
where(1×3) and (1×5) are order of [342] and [21036]

Answer 2

Answer:

3×5 is the order of matrix B.

Step-by-step explanation:

The order of matrix represents the number of rows and columns in the matrix. A matrix is an array of elements arranged in rows and columns, and the order of matrix helps in getting a count of the rows and columns in a matrix. Further, the order of matrix helps in knowing the type of the matrix, and the total number of elements in a matrix.

The order of a matrix is an important aspect that helps to decide if a particular arithmetic operation can be performed across two matrices. Here, based on the order of matrix, we can learn about the different types of matrices, and the different arithmetic operations which can be performed across matrices.

Also, the multiplication answer of the order of matrix (m × n) gives the number of elements in the matrix.

The order of matrix is equal to m x n (also pronounced as 'm by n').

Order of Matrix = Number of Rows x Number of Columns.

given : [3 4 2] =B [2 1 0 3 6 ]

Order of [3 4 2] is 1×3

• As 1 is number of row
• And 3 is number of columns.

Order of [ 2 1 0 3 6 ] is 1×5

• As 1 is number of row
• And 5 is number of columns

Now we know that

Product of two matrix can be found when

First matrix number of column = number of row of second matrix .

Hence order will be 3×5.

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