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b) Given the following system of linear equations: TMUTM UTM y + : = 3, -4r - 3y – 5z = k, 6UTM UTM UTM 2r + y +3: = 1, where k is a constant. Write the above system of linear equations in the form of AX = B. Hence, obtain the echelon matrix of the gi system. UTM UTM UTM Determine all value(s) of k such that the system TMUTM i. has no solution, ii. has many solutions. SUTM UTM

b) Given the following system of linear equations: TMUTM UTM y + : = 3, -4r - 3y – 5z = k, 6UTM UTM UTM 2r + y +3: = 1, where k is a constant. Write the above system of linear equations in the form of AX = B. Hence, obtain the echelon matrix of the gi system. UTM UTM UTM Determine all value(s) of k such that the system TMUTM i. has no solution, ii. has many solutions. SUTM UTM

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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iv. Find the intersection points between the curves r =1+2 cos 0 and b) Given the following system of linear equations: UTM UTM UTM y + 2 = 3, -4r - 3y – 5z = k, 6 UTM UTM UTM 21 + y +3z = 1, where k is a constant. Write the above system of linear equations in the form of AX = B. Hence, obtain the echelon matrix of the pi system. UTM UTM UTM Determine all value (s) of k such that the system UTM UTM i. has no solution, ii. has many solutions. UTM UTM UTM QUESTION 8 UTM Given the polar equation r =1+2 cos 0. i. Show that the graph of the equation is symmetrical to the r-axis. UTM&UTM ii. Use part (i.) to construct a table for (r, 0) with appropriate values of 0 and sketch the graph of r = 1+2 cos 0. UTM 8 UTM (Use the polar grid provided). iii. Sketch the graph r = 2 sin 0 on the same diagram as in part (ii.). 6UTM UTM SUTM UTM UTM UT QUESTION 9 Show that 1 6 UTM UTM SUTM (a – bi) (a + b)(1 + i) a² + b² (a+bi) find the value of a if where a,b are reals. Hence, 1 2UTM |5 – 5i| |(a – 3i) ' (a+3i)| ITM ITM
Transcribed Image Text:iv. Find the intersection points between the curves r =1+2 cos 0 and b) Given the following system of linear equations: UTM UTM UTM y + 2 = 3, -4r - 3y – 5z = k, 6 UTM UTM UTM 21 + y +3z = 1, where k is a constant. Write the above system of linear equations in the form of AX = B. Hence, obtain the echelon matrix of the pi system. UTM UTM UTM Determine all value (s) of k such that the system UTM UTM i. has no solution, ii. has many solutions. UTM UTM UTM QUESTION 8 UTM Given the polar equation r =1+2 cos 0. i. Show that the graph of the equation is symmetrical to the r-axis. UTM&UTM ii. Use part (i.) to construct a table for (r, 0) with appropriate values of 0 and sketch the graph of r = 1+2 cos 0. UTM 8 UTM (Use the polar grid provided). iii. Sketch the graph r = 2 sin 0 on the same diagram as in part (ii.). 6UTM UTM SUTM UTM UTM UT QUESTION 9 Show that 1 6 UTM UTM SUTM (a – bi) (a + b)(1 + i) a² + b² (a+bi) find the value of a if where a,b are reals. Hence, 1 2UTM |5 – 5i| |(a – 3i) ' (a+3i)| ITM ITM
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