Order of a matrix [ 2 5 7 ] is:
The order of matrix is defined by (row × column). The follwing matrix has 1 row and 3 columns. So, the correct option is (d) i.e 1×3.
The value of
To find the determinant we have to cross mutliply the elements and then subtract it.
cos^{2}θ  (sin^{2}θ) = 1
If , then the value of 2A is same as:
Due to the rule if a square matrix is of order n x n then, kA = k^{n} A.
Value of the determinant
(a^{2} + b^{2})×1  (2a) × b
= a^{2} +b^{2}  2ab
= (a  b)^{2}
If , then the value of x is:
As value of both determinants are equal
∴ (1×1)  (1×1) = 4x  2
0 = 4x2.
4x = 2.
x = 2/4 = 1/2
is equal to
Determinant = [(a^{2} + b^{2}).1  (2ab)]
= (a+b)^{2}
If , then the value of x is
As the value of both determinants are equal,
∴ 1 = x^{2}
x = ±1
, then the value of x is
86 = 4x2x
⇒ x = 1
The value of is
Δ = 1/2 [2(18) 7(110) +1(810)]
= 47/2
9(2x+5)  3(5x+2) = 0
3x = 39
x = 13
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