Y = x + z Solve the following equation
2 answers:
Answer:
Step-by-step explanation:
same as ^equation for all three ways
To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.
In our example,term will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.
To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.
In our example,term will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.
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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:
Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.
Step-by-step explanation:
Given:
Cos(45° - 60°)
We have to apply the formula of cosine for difference of the two angles.
Formula:
Plugging the values.
⇒
We know that the values :
and
So,
⇒
⇒
⇒
⇒ ...<em>rationalizing </em>
⇒
⇒ ...<em>taking 2 as a common factor</em>
<em>⇒ </em>
To find the exact values we have to put the values of sq-rt .
As<em>, </em> and
Then
<em>⇒ </em><em />
<em>⇒ </em><em />
⇒
So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.