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Gate 2021 : Engineering Mathematics Rapid Quiz 1 (App update required to attempt this test)
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Question 1
If the determinant of the matrix
is k, then the determinant of the matrix
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ41304/1577429543686745.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ41304/1577429544474518.png)
Question 2
If eigen value a matrix A is
, then the eigen value of
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ15793/1525862817558445.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ15793/15258628182958100.png)
Question 3
Find the value of limit
![](https://gradeup-question-images.grdp.co/liveData/PROJ46528/1585303315847493.png)
Question 4
The elimination of the arbitrary constants A, B and C from y = A + Bx + Ce−x leads to the differential equation
Question 5
Let
where
then
equals
![](https://gradeup-question-images.grdp.co/liveData/PROJ5631/149796759864156.png)
![](https://gradeup-question-images.grdp.co/equations/1524103791906.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ5631/1497967599935576.png)
Question 6
The value of integral
calculated using simpson’s 1/3rd Rule, with 10 subintervals is use the table given below.
![](https://gradeup-question-images.grdp.co/liveData/PROJ20528/1534766514309789.png)
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Jan 2ESE & GATE CE