A matrix is obtained by making one row an exact non-zero multiple of another row of…

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

Problem

A 3×33\times3 matrix BB is obtained by making one row an exact non-zero multiple of another row of an existing matrix. What can you conclude about BB? (a) BB is always non-singular\text{non-singular} (b) BB is always singular (c) det⁡(B)\det(B) is multiplied by the scalar used to obtain the new row (d) BB is singular only when the scalar equals 11

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