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By Using Properties of Determinants, Show That:`|(1,1,1),(A,B,C),(Acuberoot3, Bcuberoot3,Ccuberoot3)|` = (A-b)(B-c)(C-a)(A+B+C) - Mathematics

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प्रश्न

By using properties of determinants, show that:

`|(1,1,1),(a,b,c),(a^3, b^3,c^3)|` = (a-b)(b-c)(c-a)(a+b+c)

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उत्तर

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Determinants - Exercise 4.2 [पृष्ठ १२०]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 4 Determinants
Exercise 4.2 | Q 8.2 | पृष्ठ १२०

संबंधित प्रश्न

 

Using properties of determinants, prove that 

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Using the property of determinants and without expanding, prove that:

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`|(2,7,65),(3,8,75),(5,9,86)| = 0`


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If A, B and C are angles of a triangle, then the determinant `|(-1, cos"C", cos"B"),(cos"C", -1, cos"A"),(cos"B", cos"A", -1)|` is equal to ______.


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Without expanding determinant find the value of `|(10,57,107),(12,64,124),(15,78,153)|`


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Without expanding evaluate the following determinant.

`|(1, a, b + c),(1, b, c + a),(1, c, a + b)|`


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