Question

Given ? = $\begin{bmatrix} e^{-t} & e^{-2t} &e^{-3t} \\ sin(t) & cos(t) & tan(t)\\ 1 &0 & -1 \end{bmatrix}$

a. Matrix of minors (2pts)
b. Matrix of cofactors (2pts)
c. Adjoint matrix (2pts)
d. Determinant of A (2pts)
e. Inverse of A using the Adjoint matrix. (2pts)

Answer 1

Soen Po a 3d А cos(d) Simeo dom(t) O ay I draw all to a whow (Posos (Pwrot + twis) -cost 30 minor CA - 1 | (+2+ sonde dess) - e 2t Cranfetes sind) (etcosd-é & sind) 3) matrix of colchort. cost (sinda dand) -cost COWA -2 & cete 3) poud. le fory-es cose; (e-3 mp-el fant) (et cost-ers sing

c) Adjoint matrix Adj A= (copias 24 -cost end found-est cost e 3t sintéttand sintedand -(et e34) - 28 ét cost-e tsing -cost e d) -28 (-sind tant) IA I et (-cost) .-36 CocosH) ) 38 cost Ar -d é eosde 2d sind trian) oé Adj A

Adj A -2dland -e dost 2/ e - cos f 3d sint - édland e Sindtitomt - (ede 3t) é dcost - é 2d sind -cost -24 28 et cost & * (sind & dond) – e 3d cost