
Solve the following
Answer
545.7k+ views
Hint: Expanding the determinant yields an equation in terms of , which then can be solved to determine the value of .
The given determinant is
We need to expand the determinant to get an equation.
While expanding a determinant, the signs are as follows,
Choose a row or a column and start taking out one term after another and multiplying it with the
minors along with the corresponding sign.
When a term is taken out, the determinant leaving out the row and column of the term taken out
is called the minor.
Let us expand
Now we need to expand the determinant,
is not possible because it yields imaginary roots.
is the correct answer.
Note: Expanding the determinant yields an equation in terms of , which then can be solved to determine the value of . The signs, while expanding the determinant can be tricky.
The given determinant is
We need to expand the determinant to get an equation.
While expanding a determinant, the signs are as follows,
Choose a row or a column and start taking out one term after another and multiplying it with the
minors along with the corresponding sign.
When a term is taken out, the determinant leaving out the row and column of the term taken out
is called the minor.
Let us expand
Now we need to expand the
Note: Expanding the determinant yields an equation in terms of
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