Question

What is the determinant of the following matrix
1 0 0 0
100 1 0 0
100 200 1 0
100 200 300 1​

Answer 1

Answer:

Step-by-step explanation:

User offer to the tae

Answer 2

Answer:

The determinant of the given matrix is 1

Step-by-step explanation:

• We are provided with a matrix

                                        $\left[\begin{array}{cccc}1&0&0&0\\100&1&0&0\\100&200&1&0\\100&200&300&1\end{array}\right]$

        and we are asked to find the determinant of the above matrix

• If we observe closely, we find that the given matrix is a lower triangular matrix ( A matrix in which all the elements above the main diagonal are zero) and we know that the determinant of a lower triangular matrix is product of elements of main diagonal
• So, the elements of the main diagonal are 1,1,1,1 and their product comes out to be 1

Therefore the determinant of the given matrix is 1