Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
For a square matrix of order
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
For a square matrix
A
A
A
of order
n
n
n
, suppose
2
A
+
3
I
n
=
O
2A + 3I_n = O
2
A
+
3
I
n
=
O
, where
I
n
I_n
I
n
is the identity matrix of order
n
n
n
and
O
O
O
is the corresponding zero matrix. Find the real number
k
k
k
so that
k
(
4
A
)
=
6
I
n
k(4A) = 6I_n
k
(
4
A
)
=
6
I
n
. (a)
1
1
1
(b)
−
2
-2
−
2
(c)
−
1
-1
−
1
(d)
−
1
2
-\dfrac12
−
2
1
Related theory
Matrix Operations
Matrices
Properties of matrix operations
Browse the problem library