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2 answers:
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You find the eigenvalues of a matrix A by following these steps:
- Compute the matrix
, where I is the identity matrix (1s on the diagonal, 0s elsewhere)
- Compute the determinant of A'
- Set the determinant of A' equal to zero and solve for lambda.
So, in this case, we have
The determinant of this matrix is
Finally, we have
So, the two eigenvalues are
Answer:
Option D is correct.
The measure of
Step-by-step explanation:
is isosceles and
and
are base angles.
Isosceles Triangle:
A triangle with two equal sides, and two congruent base angles that means the angles are equal
By the definition, the base angles are equal i.e,
Since, YZ bisects
Angle Bisector theorem: An angle bisector is a line or ray that divides an angle into two equal angles
then, or
Substitute the value of ;
The sum of measures of these three angles of triangle WXY is equal to the 180 degree.
In triangle WXY we have;
Substitute the value of and
in above formula:
or
Simplify:
Combine like terms ;
or
Simplify;
Substitute the value of x in ;
Therefore, the measure of