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In this lesson, we will learn how to use Cramer's rule to solve a system of linear equations.

Q1:

Use determinants to solve the system

Q2:

Q3:

Nabil is solving simultaneous equations using Cramerβs rule. He writes down

What does he write down for Ξ ?

Q4:

Solve the simultaneous equations

Q5:

Q6:

Q7:

11 sketchbooks and 15 crayons cost 377 LE, and 15 sketchbooks and 16 crayons cost 474 LE. Use Cramerβs rule to find the price of a sketchbook and the price of a crayon.

Q8:

Q9:

Q10:

Use Cramerβs rule to solve the simultaneous equations

Q11:

Q12:

True or False: Suppose that is a system of equations with . The solution vector is

Q13:

Q14:

Q15:

Is Cramerβs rule useful for finding solutions to systems of linear equations in which there is an infinite set of solutions?

Q16:

Q17:

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