Calc 3

Given the matrix

A= a 6 5
a -8 8
7 9 a

find all values of a that make |A|=0. Give your answer as a comma-separated list.

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asked by ally
  1. -8 a^2 -72 a + 336 - 6 a^2 + 45 a + 280 = 0
    -14 a^2 -27 a + 616 = 0
    or
    14 a^2 + 27 a - 616 = 0
    https://www.mathsisfun.com/quadratic-equation-solver.html
    -7.67
    +5.74
    Check my arithmetic
    Here is a matrix determinant calculator:
    https://www.symbolab.com/solver/matrix-determinant-calculator/%5Cdet%5Cbegin%7Bpmatrix%7D5.74%20%26%206%20%26%205%20%5C%5C%205.74%20%26%20-8%20%26%208%5C%5C%207%20%269%20%26%205.74%5Cend%7Bpmatrix%7D

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    posted by Damon

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