Option C: 1 is the simplification of the expression
Explanation:
The given expression is
We need to simplify the given expression.
<u>Simplification:</u>
To simplify the given expression, let us apply the exponent rule, where
Thus, the the exponent rule means that any value (except zero) to the power of zero is equal to one.
Thus, the expression becomes,
Therefore, the simplified expression is 1
Hence, Option C is the correct answer.
Answer:
Yes, it is invertible
Step-by-step explanation:
We need to find in the matrix determinant is different from zero, since iif it is, that the matrix is invertible.
Let's use co-factor expansion to find the determinant of this 4x4 matrix, using the column that has more zeroes in it as the co-factor, so we reduce the number of determinant calculations for the obtained sub-matrices.We pick the first column for that since it has three zeros!
Then the determinant of this matrix becomes:
And the determinant of these 3x3 matrix is very simple because most of the cross multiplications render zero:
Therefore, the Det of the initial matrix is : 4 * 3 = 12
and then the matrix is invertible