The trace of an n×n matrix A, denoted tr(A), is thesum of its diagonal entries; that is, tr(A) = a11 + a22 +· · ·+annShow that(a) tr(AB) = tr(BA)(b) if A is similar to B, then tr(A) = tr(B).

Step-by-step explanation:

for two matrices A, B to be Similar, then A = SBS⁻¹

A=SBS−1⟹trace(A)=trace((SB)(S−1))=trace((S−1)(SB))=trace((SS−1)B)=trace(B)

step-by-step explanation:

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13