select the correct answer.\nwhat is the order of this matrix?\n\\begin{bmatrix}2 & -1 & 0\\\\4 & 1 & -2\\\\3…

select the correct answer.\nwhat is the order of this matrix?\n\\begin{bmatrix}2 & -1 & 0\\\\4 & 1 & -2\\\\3 & -5 & 1\\\\3 & 6 & 1\\\\3 & 1 & 0\\end{bmatrix}\n\\bigcirc a. \\ 2 \\times 3\n\\bigcirc b. \\ 3 \\times 5\n\\bigcirc c. \\ 5 \\times 3\n\\bigcirc d. \\ 3 \\times 2

select the correct answer.\nwhat is the order of this matrix?\n\\begin{bmatrix}2 & -1 & 0\\\\4 & 1 & -2\\\\3 & -5 & 1\\\\3 & 6 & 1\\\\3 & 1 & 0\\end{bmatrix}\n\\bigcirc a. \\ 2 \\times 3\n\\bigcirc b. \\ 3 \\times 5\n\\bigcirc c. \\ 5 \\times 3\n\\bigcirc d. \\ 3 \\times 2

Answer

Explanation:

Step1: Recall matrix order definition

The order of a matrix is given by ( \text{number of rows} \times \text{number of columns} ).

Step2: Count rows

Count the number of horizontal rows in the matrix. The matrix has 5 rows (each set of numbers between the brackets: ( [2, -1, 0] ), ( [4, 1, -2] ), ( [3, -5, 1] ), ( [3, 6, 1] ), ( [3, 1, 0] )).

Step3: Count columns

Count the number of vertical columns. Each row has 3 elements, so there are 3 columns.

Step4: Determine order

Using the order formula (rows × columns), we get ( 5 \times 3 ).

Answer:

C. ( 5 \times 3 )