Properties of Determinants
Trending Questions
What is the value of x is equals to root 6 + root 6 + root 6 + root 6 upto infinity?
What is the value of ?
Convert 6 radian into degree measure. give solution step by step
θ∈(3π4, 5π4), det(A) lies in the interval :
- (0, 32]
- (1, 52]
- (32, 3]
- [52, 4)
There are three sections in a question paper, each containing questions. A candidate has to solve any questions, choosing at least one from each section. Find the number of ways in which the candidate can choose the questions.
None of these.
- 2xyz
- 1
- xyz
- x2y2z2
=(a+b+c)(x+a+b+c)2, x≠0 and a+b+c≠0, then x is equal to :
- abc
- 2(a+b+c)
- −(a+b+c)
- −2(a+b+c)
- Δ2
- Δ
- Δ3
- 0
Consider the following statements:
I. If any two rows or columns of a determinant are identical, then the value of the determinant is zero.
II. If the corresponding rows and columns of a determinant are interchanged, then the value of the determinant does not change.
III. If any two rows (or columns) of a determinant are interchanged, then the value of the determinant in sign.
Which of these is correct?
f(x)=⎧⎪ ⎪⎨⎪ ⎪⎩asinπ2(x−1), for x≤0tan2x−sin2xbx3, for x>0.
If f is continuous at x=0, then 10−ab is equal to
The total number of matrices having entries from the set such that the sum of all the diagonal entries of is , is equal to
- 14
- 1
- 16
- 116
What must be subtracted from so that the result is exactly divisible by .
If , then
What is the formula of ?
If , and are the cube roots of unity, then is equal to
If and . then the vector b satisfying and ?
If and are such that then is equal to
- 1
- 0
- −1
- 2
- adj (BA)
- (adj A)(adj B)
- (adj B)(adj A)
- None of these
4x+ky+2z=0
kx+4y+z=0
2x+2y+z=0
posses a non-zero solution is
The value of the expression is
If then the value of is-
6
8
5
7
- 14
- 12√2
- 1√2
- √2
Using PMI prove that 1+3+5.........+2n-1=n^2
The value of is equal to
If is a square matrix such that , then is equal to ________?
The sum of the series to terms is
∣∣ ∣ ∣∣(1+α)2(1+2α)2(1+3α)2(2+α)2(2+2α)2(2+3α)2(3+α)2(3+2α)2(3+3α)2∣∣ ∣ ∣∣=−648α?
- -4
- 9
- -9
- 4