- b.
3 ln 4y+ ln A= ln B
3 ln 4y= ln B– ln Aln 4y= ^13 (ln B– ln A)4 y= e (ln B – ln A)y= ^14 e (ln B– ln A)- c.
1 + ln (xy) = ln z
1 + ln x+ ln y= ln z
ln x= ln z–ln y– 1
x= eln z–ln y– 1
832. b.
P= P 0 e–kt
PP 0 = e–kt
lnPP 0 = –kt
1 – ^1 klnPP^0 = t
3^13ANSWERS & EXPLANATIONS–Section 7—Matrix Algebra
Set 53 (Page 124)- b.The matrix has one row and four columns, so its dimensions are 14.
- b.The matrix has four rows and two columns, so its dimensions are 4 2.
- a.A matrix with dimensions 32 has three rows and two columns. The matrix in choice ais the correct
choice. - c.
- d.These matrices cannot be added because they do not have the same dimensions.
- c.
- c.^5
2
1
1
0
0
0
1
1
1
10
0
0
–
–
–
–
52
52
5252
52
52=
R
T
S
S
SS
R
T
S
S
SS
V
X
W
W
WW
V
X
W
W
WW
6
0
2
2
6
6
3
6
12
6
1
4
––– ––
––
(^2) >>–– 03 11 HH–= 3 22 – 21 >>>HH H=
– (^3) >>–– 01 ––^1301 HH= 03 93 03