# System of linear equations

## 1.16 Solution to System of Linear Equations (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 4.[Maximum mark: 71The system Of linear equations below can be written as the matrix equation ‘WX N(a)(b)(c)x +6y—3z —14x+2y—4z 12x+ y+5z 15Write down the matrices M and N.Solve the matrix equation MX NHence write down the solution Of the system of linear equations.[3 marks/[3 marks/[l mark]

## 1.16 Solution to System of Linear Equations (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 5.Let M =6}-2and M- -242(a)(b)qFind the value of p and of q _Solve the system of linear equations.px — y — 22 — 7x y — 22 = 2[3 maÅs][3 marks]

## 1.16 Solution to System of Linear Equations (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 4.[Maximum mark: 6]—x —y + z = 2.5Consider the system Of equations—2x — y + 2zThis system can be represented by the matrix equation AX= B, where X(b)(i) Write down the matrix A.(ii) Write down the matrix AHence, find X.[3 marks/[3 marks/

## 1.16 Solution to System of Linear Equations (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 5.[Maximum mark: 51(a)(b)Find the set Of values Of k for which the following system Of equations hasno solution.Describe the geometrical relationship Of the three planes represented by thissystem of equations.[4 marks][l mark]

## 1.16 Solution to System of Linear Equations (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 7.[Maximum mark: 81Consider the planes defined by the equations x+ y+2z 2, andwhere a is a real number.(b)If a -— 4 find the coordinates Of the point Of intersection Of the three planes.(i)Find the value Of a for which the planes do not meet at a […]

## 1.16 Solution to System of Linear Equations (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 2.[Maximum mark: 51The system Of equationsis known to have more than one solution. Find the value Of a and the value Of b.

## 1.16 Solution to System of Linear Equations (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 2.[Maximum mark: 71Given the following system of linear equations,x+ay+ z ax + y + azfind the values Of the real constant, a , for which the system has a unique solution.

## 1.16 Solution to System of Linear Equations (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 2.[Maximum mark: 51Consider the system Of equations0.1x-1.7Y+0.9z-2.4x+O.3Y+32z=1.22.5x+O.6y-3.7z=O.8.(a)(b)Express the system Of equations in matrix form.Find the solution to the system Of equations.[2 marks][3 marks]

## 1.16 Solution to System of Linear Equations (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 2.[Maximum mark: 51Find the value Of k such that the following system Of equations does not have aunique solution.

## 1.16 Solution to System of Linear Equations (Not for AA SL)

Calculator Allowed: Yes Question Answer Transcription of this question: 4.[Maximum mark: 6]A system Of equations is given below.(a)(b)—x + 4y + azFind the value Of a so that the system does not have a unique solution.Show that the system has a solution for any value Of a.[41[21