Скачать или смотреть Adjoint of a matrix || theorem on adjoint of matrix || algebra matrix

🔷 प्रमेय (Theorem):
यदि
𝐴
A एक वर्ग मैट्रिक्स (Square Matrix) है, तो:
𝐴
⋅
adj
(
𝐴
)
=
adj
(
𝐴
)
⋅
𝐴
=
∣
𝐴
∣
⋅
𝐼
A⋅adj(A)=adj(A)⋅A=∣A∣⋅I

जहाँ:

𝐴
A = कोई
𝑛
×
𝑛
n×n का वर्ग मैट्रिक्स है।

adj
(
𝐴
)
adj(A) =
𝐴
A का adjoint (या adjugate) मैट्रिक्स है।

∣
𝐴
∣
∣A∣ =
𝐴
A का डेटरमिनेंट (determinant)।

𝐼
I = उसी क्रम (order) का पहचान मैट्रिक्स (identity matrix)।




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