Let with . For which value of does the element in the second row and first column of…

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

Problem

Let

A=\begin{pmatrix}1&0&k\\2&1&1\\0&1&1\end{pmatrix}

with

k\neq0

. For which value of

k

does the element in the second row and first column of

A^{-1}

equal

-1

? (a)

k=-1

(b)

k=2

(c)

k=1

(d)

k=\dfrac12

Related theory

Determinants
Matrices
Adjoint and inverse
Inverse of a matrix using adjoint

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