If A is a `2 xx 2` matrix such that `|A| ne 0 " and " |A| = 5, ` write the value of |4A|.

Explanation

To find the value of |4A| where A is a 2x2 matrix and |A| = 5, we can follow these steps:

### Step 1: Understand the determinant property
For any scalar \( k \) and an \( n \times n \) matrix \( A \), the property of determinants states:
\[ |kA| = k^n |A| \]
where \( n \) is the order of the matrix.

### Step 2: Identify the values
In this case:
- The scalar \( k = 4 \)
- The order of the matrix \( n = 2 \) (since A is a 2x2 matrix)
- The determinant of A, \( |A| = 5 \)

### Step 3: Apply the determinant property
Using the property:
\[ |4A| = 4^2 |A| \]

### Step 4: Calculate \( 4^2 \)
Now calculate \( 4^2 \):
\[ 4^2 = 16 \]

### Step 5: Substitute the values
Now substitute the value of \( |A| \):
\[ |4A| = 16 \times |A| = 16 \times 5 \]

### Step 6: Perform the multiplication
Now calculate \( 16 \times 5 \):
\[ 16 \times 5 = 80 \]

### Conclusion
Thus, the value of \( |4A| \) is:
\[ |4A| = 80 \]

---