Maths-
General
Easy
Question
Assertion : If A is a skew symmetric of order 3 then its determinant should be zero.
Reason : If A is square matrix then det A = det
= det (–
)
- If both (A) and (R) are true, and (R) is the correct explanation of (A).
- If both (A) and (R) are true but (R) is not the correct explanation of (A).
- If (A) is true but (R) is false.
- If (A) is false but (R) is true.
The correct answer is: If (A) is true but (R) is false.
Related Questions to study
maths-
Assertion : There are only finitely many 2 ×2 matrices which commute with the matrix ![open square brackets table row 1 2 row cell negative 1 end cell cell negative 1 end cell end table close square brackets](data:image/png;base64,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)
Reason : If A is non-singular then it commutes with I, Adj A and A–1.
Assertion : There are only finitely many 2 ×2 matrices which commute with the matrix ![open square brackets table row 1 2 row cell negative 1 end cell cell negative 1 end cell end table close square brackets](data:image/png;base64,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)
Reason : If A is non-singular then it commutes with I, Adj A and A–1.
maths-General
maths-
Let a matrix A =
& P =
Q = PAPT where PT is transpose of matrix P. Find PT Q2005 P is
Let a matrix A =
& P =
Q = PAPT where PT is transpose of matrix P. Find PT Q2005 P is
maths-General
maths-
Let A =
& I =
and A–1 =
[A2 + cA + dI], find ordered pair (c, d) ?]
Let A =
& I =
and A–1 =
[A2 + cA + dI], find ordered pair (c, d) ?]
maths-General
maths-
= A & | A3 | = 125, then
is -
= A & | A3 | = 125, then
is -
maths-General
maths-
If A =
, B =
and A2 = B, then
If A =
, B =
and A2 = B, then
maths-General
Maths-
Let A be a square matrix all of whose entries are integers. Then which one of the following is true ?
Let A be a square matrix all of whose entries are integers. Then which one of the following is true ?
Maths-General
maths-
Let A =
If |A2| = 25, then |
| equals
Let A =
If |A2| = 25, then |
| equals
maths-General
Maths-
Let A =
and B =
, a, b
N. Then
Let A =
and B =
, a, b
N. Then
Maths-General
Maths-
If A and B are square matrices of size n × n such that A2 – B2 = (A – B) (A + B), then which of the following will be always true –
If A and B are square matrices of size n × n such that A2 – B2 = (A – B) (A + B), then which of the following will be always true –
Maths-General
Maths-
If A =
and I =
, then which one of the following holds for all n
1, by the principle of mathematical induction -
If A =
and I =
, then which one of the following holds for all n
1, by the principle of mathematical induction -
Maths-General
Maths-
If A2 – A + I = 0, then the inverse of A is
If A2 – A + I = 0, then the inverse of A is
Maths-General
Maths-
Let A =
and (10) B =
. If B is the inverse of matrix A, then
is
Let A =
and (10) B =
. If B is the inverse of matrix A, then
is
Maths-General
Maths-
Let A =
. The only correct statement about the matrix A is
Let A =
. The only correct statement about the matrix A is
Maths-General
chemistry-
Bleaching powder has the molecular formula:
Bleaching powder has the molecular formula:
chemistry-General
Maths-
If A =
and A2 =
, then
If A =
and A2 =
, then
Maths-General