Find the Dimension of V | det(A) = 0 | HPSC Assistant Professor Exam Question |

Описание: ‪@THEFUTUREIITIANS39‬
Welcome FUTURE IITIANS,
In this video, we'll solve a question from the HPSC Assistant Professor exam that asks us to find the dimension of the vector space V = {(x, y, z) ∈ R³ : det(A) = 0}, where A is a matrix defined as:

111
A = 223
xyz

We'll calculate the determinant of A, set it equal to 0, and analyze the resulting equation to determine the dimension of V. This question requires a good understanding of linear algebra concepts, including matrix operations and vector spaces.

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🎯🔅🎯Video Content:-
Step-by-step calculation of the determinant of A
Analysis of the resulting equation and its implications for the dimension of V
Discussion of the concepts of vector spaces and dimension
Tips and strategies for solving similar problems in linear algebra.


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