These two chapters (3 and 4) have a collective weightage of 13 marks. There will be one 6-mark question, one 4-mark question and few 1-mark questions.

Your target time for first revision should be 9-10 hours appx for the three exercises (3.1 to 3.4, misc 3, 4.1 to 4.6 & misc 4) and the Misc exercise and also little bit of previous years’ questions from reference book.

Some important questions from NCERT are as follows:

 Ex 3.1: Definitions – diagonal matrix, identity matrix ; Question – 3, 8, 10 Ex 3.2: Examples – 11, 18; Note on page 76; Questions 3(iv), 6, 7(ii), 10, 12, 13, 15, 17, 18, 20, 21, 22 Ex 3.3: Property – 3.5.1(iv); Definition – 4A, 5A; Theorem – 1, 2, Ex 22; Questions – 5(i), 6(i), 7(i), 10(iii), 11, 12 Ex 3.4: Definition – 6; Theorem – 4, Ex 24; Questions – 8, 17 Misc 3: Examples – 26, 27, 28; Questions – 1, 3, 4, 7, 9, 11, 12, 13, 15 Ex 4.1: Property of A = kB in page 107 ; Questions – 4, 8 Ex 4.2: Examples – 11, 12, 14, 15, 16; Questions – 4, 8(i), 10(i), 11(i), 12, 15, 16 Ex 4.3: Questions – 2, 5 Ex 4.4: Note at page 124 Ex 4.5: Theorem 4, Ex 26; Questions – 11, 13, 16, 17, 18 Ex 4.6: Consistent & Inconsistent systems, Ex 28, 29 ; Questions – 13, 15, 16 Misc 4: Examples 30, 33; Questions – 5, 9, 11, 13, 14, 17, 19

Tips:

1. Along with numerical, some theory concepts are also important in this chapter.
2. Properties of determinants are very important – especially Property 6 (page 114).
3. In expansion of Determinants, decide well before exam about one style – expansion by row or column.