Consider a 2x2-dimensional matrix A for which A² = -A. a) What are all possible values of the determinant of A ? b) What are all possible values of the trace of A?
Consider a 2x2-dimensional matrix A for which A² = -A. a) What are all possible values of the determinant of A ? b) What are all possible values of the trace of A?
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 1SE: Explain why we can always evaluate the determinant of a square matrix.
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Transcribed Image Text:Consider a 2x2-dimensional matrix A for which A² =
a) What are all possible values of the determinant of A?
b) What are all possible values of the trace of A?
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