To solve the problem, we need to understand the usage of the ROUND
function in Excel, which is used to round numbers to a specified number of digits.
1. Purpose of the ROUND Function:
The ROUND
function is used to round a number to a specified number of digits. It can round both decimal and whole numbers.
2. Syntax of the ROUND Function:=ROUND(number, num_digits)
Where:
number
is the numeric value you want to round.num_digits
specifies the number of digits to which you want to round the number.3. Explanation with Examples:
=ROUND(12.3456, 2)
returns 12.35 — rounds to 2 decimal places.=ROUND(12.3456, 0)
returns 12 — rounds to nearest whole number.=ROUND(12.3456, -1)
returns 10 — rounds to nearest 10.4. Rounding Behavior:
If the digit following the rounding position is 5 or more, Excel rounds the number up. Otherwise, it rounds down.
Final Answer:
The ROUND
function in Excel rounds a number to a specified number of digits, using the syntax:=ROUND(number, num_digits)
If \[ A = \begin{bmatrix} 1 & 2 & 0 \\ -2 & -1 & -2 \\ 0 & -1 & 1 \end{bmatrix} \] then find \( A^{-1} \). Hence, solve the system of linear equations: \[ x - 2y = 10, \] \[ 2x - y - z = 8, \] \[ -2y + z = 7. \]