The values of a and b, for which the system of equations
2x + 3y + 6z = 8
x + 2y + az = 5
3x + 5y + 9z = b
has no solution, are :
Solution
$$D = \left| {\matrix{
2 & 3 & 6 \cr
1 & 2 & a \cr
3 & 5 & 9 \cr
} } \right| = 3 - a$$<br><br>$$D = \left| {\matrix{
2 & 3 & 8 \cr
1 & 2 & 5 \cr
3 & 5 & b \cr
} } \right| = b - 13$$<br><br>If a = 3, b $\ne$ 13, no solution.
About this question
Subject: Mathematics · Chapter: Matrices and Determinants · Topic: Types of Matrices and Operations
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