This document contains a 4 question midterm exam on matrices. Question 1 involves adding and multiplying matrices. Question 2 involves finding the inverse of a matrix. Question 3 involves determining the determinant of a matrix product. Question 4 uses determinants to solve a word problem about the quantity of bananas and papayas sold given total sales and individual fruit prices. The exam is for 10th grade students and was given on November 3rd, 2014 from 9:00-10:20.

1. Examiner : I Wayan Suryana, S.Si Page 1
MIDTERM TEST 2014
1) Given matrix A = 





65
42
and B = 





12
54
Determine!
a).   1
 BA …………………………………………………………………….(20 marks)
b). BA ……………………………………………………………………………(20 marks)
2) Given matrix A =













075
414
31012
Determine invers of matrix A...................... ( 20 marks)
3) Given matrix A =




















25
31
12
253
142
Band if C = AB, the determinant C is.....(20 marks)
4) By the determinant method find the solution of problem below
Selama seminggu, seorang penjual buah mampu menjual 325 kg nanas dan pepaya. Harga
nanas Rp. 4.000,00 per kg, sedangkan harga pepaya Rp. 5.000,00 per kg. Jika hasil penjualan
nanas dan pepaya tersebut Rp. 1.500.000,00. Maka tentukan banyak nanas dan pepaya yang
terjual ......................................................................................................................(20 marks)
= = = = = = = = GOOD LUCK = = = = = = = =
PROBLEM SHEETS
Subject : Mathematics (Matrix)
Day / date : Monday, 03-Nov-2014
Grade : XA and XB
Time : 09.00 – 10.20 Wita