Practice set four

 A matrix is Singular if its determinant is zero otherwise it is called as non-singular matrix, so now try some practice questions.

Check which of the following matrices are Singular or Non-Singular.

1). \(\begin{bmatrix}1 & -1 &0  \\4 &5  &5  \\ 1& 5 &6 \end{bmatrix}\)


2). \(\begin{bmatrix}5 & 4 &0  \\5 &0  &0  \\ 5& 5 &0 \end{bmatrix}\)


3). \(\begin{bmatrix}1 & 2 &3 \\-1 &7 &1  \\ 2& 4 &6 \end{bmatrix}\)


4). \(\begin{bmatrix}-2 & 1 &1  \\6 &3  &-3  \\ 4& 9 &-2 \end{bmatrix}\)


5). \(\begin{bmatrix}2 & -3 &0  \\0 &5  &5  \\ 0& 0 &6 \end{bmatrix}\)


6). \(\begin{bmatrix}12 & 8 &0  \\0 &0  &5  \\ 0& 0 &6 \end{bmatrix}\)


7). \(\begin{bmatrix}1 & 8 &  \frac{1}{3}  \\3 &5  &\frac{1}{9}  \\ 8& 0 &\frac{1}{24} \end{bmatrix}\)






Answers : 

1). Non-Singular

2). Singular

3). Singular

4). Singular

5). Non-Singular

6). Singular

7). Singular


Post a Comment

0 Comments