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Determinants and Cramer's Rule

18. Systems of Equations and Matrices / Determinants and Cramer's Rule / Problem 1

Problem 1

Find the value of the given determinant using the determinant theorems.
${"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mfenced open=\"|\" close=\"|\"><mtable><mtr><mtd><mn>5</mn></mtd><mtd><mn>8</mn></mtd><mtd><mn>11</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>6</mn></mtd><mtd><mn>13</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>14</mn></mtd></mtr></mtable></mfenced></mstyle></math>","truncated":false}$

A

30

B

420

C

-420

D

0