Pemilik sebuah restoran perlu membayar cukai perkhidmatan kepada kerajaan kerana nilai perkhidmatan bercukai yang disediakan restorannya melebihi nilai ambang RM1 500000 setahun. Pihak manakah yang bertanggungawab mengutip cukai ini? The owner of a restaurant is required to pay service tar to the government because the value of taxable services provided by his restaurant exceeds the threshold of RM1 500000 per year. Which entity is responsible for collecting sales and service tax? A Majlis Perbandaran B Lemicipal Council B Inland Revenue Board (IRB) C Pejabat Tanah dan Galian D State Land Office Dabatan Kastam Diraja Malaysia (JKDM) Royal Malaysian Customs Department (RMCD)

a) Is the following set of vectors in \( \mathbb{R}^{4} \) linearly dependent, if yes, write the first vector as a linear combination of the other vectors. \( S=\{(1,2,-3,1),(3,7,1,-2),(1,3,7,-4)\} \).

(b) Show that the relation R on the set \( \mathrm{A}=\{1 \), \( 2,3,4,5\} \) given by \( \mathrm{R}=\{(\mathrm{a}, \mathrm{b}):|\mathrm{a}-\mathrm{b}| \) is even \( \} \) is an equivalence relation.

5. A psychologist is interested in exploring the effect of utorial suppot on students' academic performance and assign students into two groups. Students in group one the tutorial support and those in groupltwo do not. In this example, what is the a) Dependent variable b) Independent variable c) Control group d) Experimental group

A supercomputer is a powerful computer used by many large organizations such as hospitals, universities, large businesses, banks, and government offices that need to manage large amounts of centralized data.

12. Find a standard basis vector for \( R^{3} \) that can be added to the set \( \left\{\mathbf{v}_{1}, \mathbf{v}_{2}\right\} \) to produce a basis for \( R^{3} \). (a) \( \mathbf{v}_{1}=(-1,2,3), \mathbf{v}_{2}=(1,-2,-2) \) (b) \( \mathbf{v}_{1}=(1,-1,0), \mathbf{v}_{2}=(3,1,-2) \)