Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
If and , calculate…
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
If
A
=
(
1
2
3
4
)
A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}
A
=
(
1
3
2
4
)
and
B
=
(
4
−
2
1
0
)
B = \begin{pmatrix} 4 & -2 \\ 1 & 0 \end{pmatrix}
B
=
(
4
1
−
2
0
)
, calculate
A
B
AB
A
B
. (a)
(
5
0
4
4
)
\begin{pmatrix} 5 & 0 \\ 4 & 4 \end{pmatrix}
(
5
4
0
4
)
(b)
(
−
2
0
1
2
)
\begin{pmatrix} -2 & 0 \\ 1 & 2 \end{pmatrix}
(
−
2
1
0
2
)
(c)
(
6
−
2
16
−
6
)
\begin{pmatrix} 6 & -2 \\ 16 & -6 \end{pmatrix}
(
6
16
−
2
−
6
)
(d)
(
6
0
16
−
6
)
\begin{pmatrix} 6 & 0 \\ 16 & -6 \end{pmatrix}
(
6
16
0
−
6
)
Related theory
Matrix Operations
Matrices
Multiplication of matrices
Browse the problem library