CBSE Class 11-science Answered
Reduce the matrix A(given below) to normal form and hence find its rank.
![question image](http://images.topperlearning.com/topper/new-ate/825714WhatsAppImage20211014at1.23.09PM.jpeg)
Asked by rahulksinha200 | 16 Oct, 2021, 14:08: PM
To check the cotinuity of the function:
![straight f left parenthesis straight x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell fraction numerator open vertical bar straight x close vertical bar over denominator straight x end fraction comma space space space straight x not equal to 0 end cell row cell 0 comma space space space space space space straight x equals 0 end cell end table close
space space space space space space equals open curly brackets table attributes columnalign left end attributes row cell straight x over straight x comma space space space straight x greater than 0 end cell row cell fraction numerator negative straight x over denominator straight x end fraction comma space space straight x less than 0 end cell row cell 0 comma space space space space space space straight x equals 0 end cell end table close
space space space space space space equals open curly brackets table attributes columnalign left end attributes row cell 1 comma space space space space space straight x greater than 0 end cell row cell negative 1 comma space space straight x less than 0 end cell row cell 0 comma space space space space straight x equals 0 end cell end table close
LHL equals limit as straight x rightwards arrow 0 to the power of minus of straight f open parentheses straight x close parentheses equals limit as straight x rightwards arrow 0 of open parentheses negative 1 close parentheses equals negative 1
RHL equals limit as straight x rightwards arrow 0 to the power of plus of straight f open parentheses straight x close parentheses equals limit as straight x rightwards arrow 0 of 1 equals 1
As space LHL not equal to RHL
So comma space straight f space is space not space continuous space at space straight x equals 0.](https://images.topperlearning.com/topper/tinymce/cache/0254d739dd24461de493f72525ab10e5.png)
Answered by Renu Varma | 19 Oct, 2021, 12:12: PM
Application Videos
Concept Videos
CBSE 11-science - Maths
Asked by jagathaiah.kamsali | 13 Jun, 2024, 20:20: PM
CBSE 11-science - Maths
Asked by cubesneha.2005 | 07 Feb, 2024, 00:55: AM
CBSE 11-science - Maths
Asked by hridayjayaram085 | 31 Jan, 2024, 22:53: PM
CBSE 11-science - Maths
Asked by prashantbharati75 | 29 Sep, 2023, 09:30: AM
CBSE 11-science - Maths
Asked by Bhaveshkr211 | 30 Jul, 2023, 17:20: PM
CBSE 11-science - Maths
Asked by sakshirana374 | 24 Jul, 2022, 17:39: PM
CBSE 11-science - Maths
Asked by sanjuktamukherjee165 | 24 Oct, 2021, 11:04: AM
CBSE 11-science - Maths
Asked by rahulksinha200 | 16 Oct, 2021, 14:08: PM
CBSE 11-science - Maths
Asked by Vibhorjarora798 | 21 Aug, 2021, 17:43: PM