MENU
Educational Resources
Exam Papers
Form 1 Videos
Form 2 Videos
Form 3 Videos
Form 4 Videos
Grade 4 Videos
Grade 5 Videos
Grade 6 Videos
Grade 7 Videos
Class 8 Videos
Form 1 Exams
Form 2 Exams
Form 3 Exams
Form 4 Exams
KCSE Videos
Class 8 Exams
Grade 5 Exams
Grade 4 Exams
Grade 3 Exams
Grade 2 Exams
Grade 1 Exams
Online Tests
Online Tuition
Sign In
Join
Get access to thousands of educational resources
Get premium membership
and access revision papers with marking schemes, video lessons and live classes.
OR
Processing. Please wait.
Form 3 Mathematics Matrices Questions and Answers
Use matrices to solve the simultaneous equations:
4x+3y=18
5x-2y=11
(3m 16s)
1082 Views
SHARE
|
« Previous
Next »
1.
Given that #A=[[2,4], [3, 6]]# and #B=[[11,3], [4, 1]]# find C such that B.C=A
2.
Find the inverse of the matrix #[[2,5], [3,4 ]]#. Hence or otherwise solve the equation 2x+5y=9, 3x+4y=6
3.
Determine the value of X for which the matrix below has no inverse #[[2x, x^2],[2,1]]#
4.
A clothes dealer sold 3 shirts and 2 trousers for sh.840 and 4 shirts and 5 trousers for sh.1680.Form a matrix equation to represent the above information .Hence find the cost of 1 shirt and the cost of 1 trouser.
5.
A and B are two Matrices.If #A=[[1, 2],[4, 3]]#,find B given that #A^2# =A+B
6.
Given that A=#[[1,3],[5,3]]#,B=#[[3,1],[5,-1]]#,C=#[[P,0],[0,q]]# and AB=BC,determine the value of P
7.
A matrix A is given by A = #[[x, 0], [5, y]]# (a)Determine #A^2# (b)If #A^2=[[1,0], [0,1] ]#,Determine the possible pair of values of x and y.
8.
Given that p=#[[2,3],[1,2]]# and Q=#[[2,-3],[-1,2]]# find the matrix product PQ. Hence ,solve the simultaneous equation below: 2x-3y=5, -x+2y=-3
9.
Determine the inverse , #T^-1# of the matrix T=#[[1,2],[1,-1]]# Hence find the coordinates to the point at which the two lines x+2y=7 and x-y=1 intersect
10.
Given the simultaneous equations : 5x+y=19, -x+3y=9 (a)write the equations in matrix form .Hence solve the simultaneous equations (b)Find the distance of the point of intersection of a line 5x+y=19 and –x+3y=9 from the point (11,-2)
11.
(a)Find the inverse of the matrix #[[9,8],[7,6]]#. (b) In certain week a businessman bought 36 bicycles and 32 radios for a total of ksh.227,280.In the following week ,he bought 28 bicycles and 24 radios for a total of ksh.174,960.Using matrix method ,find the price of each bicycle and each radio that he bought. (c) In the third week,the price of each bicycle was reduced by 10%
12.
Two matrices A and B are such that A=#[[k,4],[3,2]]# and B=#[[1,2],[3,4]]#Given that the determinant of AB=4,find the value of k
13.
Matrix P is given by #((4,7),(5,8))# (a) Find #P^(-1) # (b) Two institutions, Elimu and Somo, purchased beans at sh. b per bag and maize at sh. m per bag. Elimu purchased 8 bags of beans and 14 bags of maize for sh. 47,600. Somo purchased 10 bags of beans and 16 bags of maize for sh. 57,400. (i) Form a matrix equation to represent the information above.
14.
Given that #A = ((-2,3),(4,-1)) and B = ((-20,30),(40,-10))# (i) Find #A^(-1) B#. (ii) Hence or otherwise write down the inverse of B
15.
(a) The product of matrices #[[0,1],[2,p]]# and #[[-1.5,-0.5],[p,p-2]]# is a singular matrix. Find the value of p (b) A sales woman earned a fixed salary of ksh x and a commission of ksh y for each item sold .In a certain month she sold 30 items and earned a total of ksh 50,000.The the following month she sold 40 items and earned a total of ksh 56,000. (i) Form two equations in x and y.
16.
Given that A=#[[1,0],[-2,3]]#,B=#[[3,0],[2,1]]# and C=2AB-#A^2#.Determine matrix C
17.
A trader bought 2 cows and 9 goats for a total of Ksh.98,200.If she had bought 3 cows and 4 goats she would have spent ksh.2200 less. (a) Form two equations represent the above information (b) Use matrix method to determine the cost of a cow and that of a goat. (c) The trader later sold the animals she had bought making a profit of 30% per cow and 40% per goat (i)calculate the total amount of
18.
Two shopkeepers,Juma and Wanijku bought some items from a wholesaler.Juma bought 18 loaves of bread ,40 packets of milk and 5 bars of soap while Wanjiku bought 15 loaves of bread ,30 packets of milk and 6 bars of soap.The prices of a loaf of a bread , a packet of milk and a bar of soap were ksh 45,ksh 50 and ksh 150 respectively. (a) Represent: (i)the number of items bought by Juma and Wanjiku
19.
(a)Given that A=#[[3,x],[x+1,2]]# and B=#[[1,2],[3,0]]#,find the values of x for which AB is a singular matrix. (b) Mambo bought 3 exercise books and 5 pens for a total of ksh 165.If Mambo bought 2 exercise books and 4 pens ,he would have spent ksh 45 less .Taking x to represent the price of an exercise and y to represent the price of a pen. (i) Form two equations to represent the above
20.
Use the matrix method to solve 5x+3y=3 3x-4y=-8
21.
Give thatA=#[[2,3],[4,4]]#,B=#[[x,1],[2,3]]# and that AB is a singular matrix ,find the value of x
22.
(a) Find #A^-1#,the inverse of matrix A=#[[5 ,6],[7, 9]]#. (b) Okello bought 5 physics books and 6 mathematics books for a total of ksh 2440.Ali bought 7 physics books and 9 mathematics books for a total of ksh 3560. (i)Form a matrix equation to represent the above information. (ii)use matrix method to find the price of a physics book and that of a mathematics book.
23.
Use matrices to solve the simultaneous equations: 4x+3y=18 5x-2y=11
24.
(a) Given that the matrix A = #((2,3),(3,4))# , find #A^(-1)#, the inverse of A. (b) Kantai bought 200 bags of sugar and 300 bags of rice for a total of sh. 850,000. Buya bought 90 bags of sugar and 120 bags of rice for a total of sh. 360,000. If the price of a bag of sugar is sh. x and that of rice is sh. y, (i) Form two equations to represent the information above.
×
Share Content Via:
Facebook
Twitter
WhatsApp
Close
Get premium membership