Maths-
General
Easy
Question
For the matrix A =
, which of the following is correct
- A3 + 3A2 – I = O
- A3 – 3A2 – I = O
- A3 + 2A2 – I = O
- A3 – A2 + I = O
The correct answer is: A3 – 3A2 – I = O
We are given matrix A and we need to find the correct equation
![A squared equals space open square brackets table row 1 1 0 row 1 2 1 row 2 1 0 end table close square brackets space open square brackets table row 1 1 0 row 1 2 1 row 2 1 0 end table close square brackets space equals space open square brackets table row 2 3 1 row 5 6 2 row 3 4 1 end table close square brackets
A squared. A space equals A cubed space equals open square brackets table row 7 9 3 row 15 19 6 row 9 12 4 end table close square brackets
A cubed space minus 3 A squared space minus space I space equals 0 space space c a n space b e space v e r i f i e d space f r o m space t h e space a b o v e space m a t r i c e 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)
Therefore the correct option is choice 2
Related Questions to study
Maths-
If a matrix A is such that3A3 + 2A2 + 5A + I = 0, then A–1 is equal to-
If a matrix A is such that3A3 + 2A2 + 5A + I = 0, then A–1 is equal to-
Maths-General
Maths-
Let F(
) =
, where
R. Then (F(
))–1 is equal to
Let F(
) =
, where
R. Then (F(
))–1 is equal to
Maths-General
Maths-
If A=
and A2 – kA – 5I2 = O, then the value of k is-
If A=
and A2 – kA – 5I2 = O, then the value of k is-
Maths-General
Maths-
If M =
and M2 –
M –
= 0, then
equals -
If M =
and M2 –
M –
= 0, then
equals -
Maths-General
Maths-
If
=
, then -
If
=
, then -
Maths-General
Maths-
If A =
and (aI2 + bA)2 = A, then -
If A =
and (aI2 + bA)2 = A, then -
Maths-General
Maths-
If A is invertible matrix, then det (A–1) equals-
If A is invertible matrix, then det (A–1) equals-
Maths-General
maths-
If D = diag (d1, d2, d3, ...,dn), where d1
0 for all i = 1,2,....,n; then D–1 is equal to-
If D = diag (d1, d2, d3, ...,dn), where d1
0 for all i = 1,2,....,n; then D–1 is equal to-
maths-General
Maths-
If A and B are square matrices such that AB = B and BA = A, then A2 + B2 is equal to-
If A and B are square matrices such that AB = B and BA = A, then A2 + B2 is equal to-
Maths-General
Maths-
If
=
, then which of following statement is true -
If
=
, then which of following statement is true -
Maths-General
maths-
If A =
, then -
If A =
, then -
maths-General
Maths-
If D = diag (d1, d2,.....,dn), then Dn equals -
If D = diag (d1, d2,.....,dn), then Dn equals -
Maths-General
Maths-
If A =
, then for every positive integer n, An is equal to -
If A =
, then for every positive integer n, An is equal to -
Maths-General
Maths-
If A = [aij] is scalar matrix of order n × n such that aij = k for all i, then |A| equals -
If A = [aij] is scalar matrix of order n × n such that aij = k for all i, then |A| equals -
Maths-General
maths-
If E (
) =
then E(
) E(
) is equal to-
If E (
) =
then E(
) E(
) is equal to-
maths-General