Question No for 1 Mathematics

Find the non zero negative value of x which satisfies the equation


open vertical bar table row x 1 0 row 1 x 1 row 0 1 x end table close vertical bar space space equals space 0


Options

A. 2

B. negative 2

C. square root of 2

D. negative square root of 2


Answer for question no 1

C. square root of 2

Solution for question no 1


x left parenthesis open parentheses x cross times x close parentheses minus open parentheses 1 cross times 1 close parentheses right parenthesis minus open parentheses open parentheses x cross times 1 close parentheses minus open parentheses x cross times 0 close parentheses close parentheses plus 0 left parenthesis open parentheses 1 cross times 1 close parentheses minus open parentheses 0 cross times 0 close parentheses right parenthesis space equals space 0
left parenthesis e x p a n d space t h e space a b o v e right parenthesis
x open parentheses x to the power of 2 space end exponent minus 1 close parentheses minus x equals 0
x to the power of 3 space end exponent minus 2 x equals 0
x open parentheses x squared minus 2 close parentheses equals 0
x equals 0 space sin c e space x squared space minus 2 not equal to space 0
x to the power of 2 space end exponent space equals space 2
x space equals space square root of 2

A n s w e r space i s space O p t i o n space C

Question No for 2 Mathematics


If space space straight Z space equals space open vertical bar table row 2 3 3 row 4 1 0 row 1 4 0 end table close vertical bar

Find the determinant of   Z


straight A.35
straight B.45
straight C. negative 35
straight D.48


Answer for question no 2

straight B.45

Solution for question no 2


2 open parentheses 0 minus 0 close parentheses minus 3 left parenthesis 0 minus 0 right parenthesis plus 3 left parenthesis 16 minus 1 right parenthesis equals straight Z

0 space minus space 0 space plus 48 space minus space 3 space equals straight Z
45 equals straight Z

A n s w e r space i s space Option space straight B