Let and . Then the value of…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let

A=\begin{pmatrix}0&\alpha\\0&0\end{pmatrix}

and

(A+I)^{50}-50A=\begin{pmatrix}a&b\\c&d\end{pmatrix}

. Then the value of

a+b+c+d

is (1) 1 (2) 2 (3) 4 (4) None of these

Related theory

Binomial Theorem
Matrices
Matrix operations
Properties of matrix operations

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