Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Consider
A
=
(
p
1
2
3
)
A=\begin{pmatrix}p & 1 \\ 2 & 3\end{pmatrix}
A
=
(
p
2
1
3
)
and
B
=
(
3
−
1
q
r
)
B=\begin{pmatrix}3 & -1 \\ q & r\end{pmatrix}
B
=
(
3
q
−
1
r
)
. Given that
A
B
=
I
2
AB=I_2
A
B
=
I
2
, determine the value of
p
+
q
+
r
p+q+r
p
+
q
+
r
. a)
1
1
1
b)
−
1
-1
−
1
c)
0
0
0
d)
−
2
-2
−
2
Browse the problem library