हिंदी

If A = [(1,2),(4,2)] then show that |2A| = 4|A|.

Advertisements
Advertisements

प्रश्न

If A = `[(1,2),(4,2)]` then show that |2A| = 4|A|.

योग
Advertisements

उत्तर

A = `[(1,2),(4,2)]`

⇒ 2A = `[(2,4),(8,4)]`

∴ |A| = `|(1,2),(4,2)|`

= 2 − 8

= −6   ....(1)

|2A| = `|(2,4),(8,4)|`

= 2 × 4 − 4 × 8

= 8 − 32

= −24   ...(2)

From equations (1) and (2),

|2A| = 4|A|

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Determinants - Exercise 4.1 [पृष्ठ १०८]

APPEARS IN

एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 4 Determinants
Exercise 4.1 | Q 3 | पृष्ठ १०८
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×