Top 250 Finite Dimensional Vector Space CUET PG Questions 2025 | Lec-9 | IFAS

Get ready for the Top 250 Finite Dimensional Vector Space CUET PG Questions 2025 in this detailed lecture. Finite Dimensional Vector Space CUET PG questions are broken down to help you master this critical topic. Learn key concepts and practice the most important finite dimensional vector space CUET PG questions to boost your preparation. This lecture by IFAS will guide you through various problem-solving techniques and strategies to excel in your upcoming exam.

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[pritiinstitute]

HW ka answer option a, b
(1)Because if A is scalar matrix of order n then CA(x)=(x-a)^n imply MA(x)=(x-a)
(2)If A is not scalar then it's eigen values are distinct imply and we know that MA(x)|CA(x) and MA(x)=(x-ai), {where i belongs to [1, k] } not possible because A is not a scalar matrix imply mA(x)= (x-a1)^k1...(x-ak)^km imply deg(mA(x))>=2