Select Goal &
City
Select Goal
Search for Colleges, Exams, Courses and More..
Write a Review
Get Upto ₹500*
Explore
Explore More
Study Abroad
Get upto 50% discount on Visa Fees
Top Universities & Colleges
Abroad Exams
Top Courses
Exams
Read College Reviews
News
Admission Alerts 2024
Education Loan
Institute (Counselling, Coaching and More)
Ask a Question
College Predictor
Test Series
Practice Questions
Course Finder
Scholarship
All Courses
B.Tech
MBA
M.Tech
MBBS
B.Com
B.Sc
B.Sc (Nursing)
BA
BBA
BCA
Course Finder
No Data Found
>
Exams
>
Mathematics
>
Transpose of a Matrix
>
if f x begin vmatrix x 3 2x 2 18 2x 3 81 x 5 2x 2
Question:
If f(x)= $\begin{vmatrix} x-3 & 2x^2-18 & 2x^3-81\\ x-5 & 2x^2-50 & 4x^3-500\\ 1 & 2 & 3 \\ \end{vmatrix}$ then f(1). f(3) + f(3). f(5) + f(5). f(1) is
KCET
Updated On:
Apr 26, 2024
-1
0
1
2
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct answer is Option (B) : 0
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Transpose of a Matrix
Let P be a square matrix such that P
2
= I – P. For α, β, γ, δ ∈ N, if P
α
+ P
β
= γI – 29P and P
α
– P
β
= δI – 13P, then α + β + γ – δ is equal to
JEE Main - 2023
Mathematics
Transpose of a Matrix
View Solution
Let B =
\(\begin{bmatrix} 1 & 3 & α \\ 1 & 2& 3 \\ α & α & 4 \end{bmatrix}\)
, α>2 be the adjoint of a matrix A and |A| = 2, then [α - 2α α] B
\(\begin{bmatrix} α \\ -2α \\ α \end{bmatrix}\)
is equal to
JEE Main - 2023
Mathematics
Transpose of a Matrix
View Solution
Given below are two statements: one is labelled as
Assertion A
and the other is labelled as
Reason R
.
Assertion A
: For matrix A =
\(\begin{bmatrix} 1 & 2 \\ 8 & 16 \end{bmatrix}\)
,rank of A = r(A) = 1
Reason R
: For matrix A if |A| = 0, then it implies that rank of matrix A given by r(A) is less than full rank.
In the light of the above statements, choose the
most appropriate
answer from the options given below:
CUET (PG) - 2023
Mathematics
Transpose of a Matrix
View Solution
if A=
\(\frac{1}{5! 6! 7!}\begin{bmatrix} 5! & 6! & 7!\\ 6! & 7! & 8! \\ 7! & 8! & 9! \end{bmatrix}\)
, then |adj(adj(2A))| is equal t
JEE Main - 2023
Mathematics
Transpose of a Matrix
View Solution
Let D
k
=
\(\begin{vmatrix} 1 & 2k & 2k-1\\ n & n^2+n+2 & n^2 \\ n & n^2+n & n^2+n+2 \end{vmatrix} \)
If
\(∑^n_{k=1} D_k=96,\)
The n is equal to
JEE Main - 2023
Mathematics
Transpose of a Matrix
View Solution
View More Questions
Questions Asked in KCET exam
If
\(\lim\limits_{x \rightarrow 0} \frac{\sin(2+x)-\sin(2-x)}{x}\)
= A cos B, then the values of A and B respectively are
KCET - 2023
limits of trigonometric functions
View Solution
The Curie temperatures of Cobalt and iron are 1400K and 1000K respectively. At T = 1600K , the ratio of magnetic susceptibility of Cobalt to that of iron is
KCET - 2023
Magnetism and matter
View Solution
A particle is in uniform circular motion. Related to one complete revolution of the particle, which among the stataments is incorrect ?
KCET - 2023
Uniform Circular Motion
View Solution
The modulus of the complex number
\(\frac{(1+i)^2(1+3i)}{(2-6i)(2-2i)}\)
is
KCET - 2023
complex numbers
View Solution
The energy gap of an LED is 2.4 eV. When the LED is switched ‘ON’, the momentum of the emitted photons is
KCET - 2023
Semiconductor electronics: materials, devices and simple circuits
View Solution
View More Questions