Solving Simultaneous Linear Equation Using Cramer's Rule
Determine the...
Question
Determine the values of a and b for which the system ⎡⎢⎣3−215−8921a⎤⎥⎦⎡⎢⎣xyz⎤⎥⎦=⎡⎢⎣b3−1⎤⎥⎦has infinitely many solutions
A
a=−3,b=13
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
a=3,b=13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
a=−1,b=−13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
a=1,b=13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is Ba=−3,b=13 Given, the system of equations has infinite many solutions So, D=D1=D2=D3=0 Let's take D=0 ∣∣
∣∣3−215−8921a∣∣
∣∣=0 ⇒−14a−42=0 ⇒a=−3 Now, taking D1=0 ∣∣
∣∣b−213−89−11−3∣∣
∣∣=0 ⇒15b−5=0 ⇒b=13