Find all eigenvalues and a basis for each eigenspace for the following matrix. If an eigenvalue has algebraic multiplicity ma > 1, find its geometric multiplicity mg. (Order eigenvalues from largest to smallest real part, then from largest to smallest coefficient of the imaginary part. If ma = 1, enter 1). [1 9 2 -6]
Find all eigenvalues and a basis for each eigenspace for the following matrix. If an eigenvalue has algebraic multiplicity ma > 1, find its geometric multiplicity mo. (Order eigenvalues from smallest to largest real part, then by imaginary part. If ma = 1, enter 1).
[1 1 0 0 3 0 0 0 4]

why do wages differ across industries

step-by-step explanation :

micro economists are concerned with economics on an industry or individual firm basis.

macro economists are concerned with national and international level

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step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.