Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
3.9k views
in Determinants by (36.2k points)
closed by

Using properties of determinants, prove the following :

\(\begin{vmatrix} 1 & a & a^2 \\[0.3em] a^2 & 1 &a \\[0.3em] a^2 & a^2 &1 \end{vmatrix}=(1 -a^3)^2\)

1 Answer

+1 vote
by (33.4k points)
selected by
 
Best answer

LHS,

\(\Delta=\begin{vmatrix} 1 & a & a^2 \\[0.3em] a^2 & 1 &a \\[0.3em] a^2 & a^2 &1 \end{vmatrix}\) 

Expanding along R1 we have

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...