Answer:
a) -4
b) 1
c) 1
Step-by-step explanation:
a) The matrix A is given by:
to find the eigenvalues of the matrix you use the following:
where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:
and by taking the determinant:
and the roots of this polynomial is:
hence, the real eigenvalue of the matrix A is -4.
b) The multiplicity of the eigenvalue is 1.
c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)
Answer:
squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
cubes: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
Step-by-step explanation:
Interquartile Range is always Q3 - Q1. Therefore, using the numbers from above to represent Q3 and Q1 the answer would look like this:
IQR = Q3 - Q1 = 110 - 50 = 60
Final Answer: 60
7) Draw a quadrilateral with 1 pair of parallel side. What special quadrilateral have you drawn?
Properties of a quadrilateral:
1) has four sides or edges
2) has four vertices or corners
3) interior angles add up to 360°
US definition: A trapezoid is a quadrilateral that has 1 pair of parallel sides.
UK definition: A trapezium is a quadrilateral that has 1 pair of parallel sides.
Step-by-step explanation:
117+114= 231
360-231= 129
Now find two numbers that add up to 129