3 and 4 .Determinants and Matrices
medium

समीकरणों के निकाय $2x + y - z = 7,\,$ $x - 3y + 2z = 1$ तथा $x + 4y - 3z = 5$ के हलों की संख्या होगी   

A

$3$

B

$2$

C

$1$

D

$0$

Solution

$\Delta  = \left| {\,\begin{array}{*{20}{c}}2&1&{ – 1}\\1&{ – 3}&2\\1&4&{ – 3}\end{array}\,} \right| = 2(9 – 8) – 1( – 3 – 2) – 1(4 + 3) = 7 – 7 = 0$

अत: हलों की संख्या शून्य है।

Standard 12
Mathematics

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