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JMET  Math
Samples and Areas Tested ,[object Object],[object Object],[object Object],[object Object],[object Object]
Complex Numbers
Rectangular form : Any complex number z can be uniquely represented as a point in the x-y plane, where the x-coordinate is Re z and the y-coordinate is Im z. -  You can think of i as a unit vector in the maginary" (y) direction. -  The magnitude of z is just the length of the vector from the origin. Polar form : We can also write z in polar form as:
Arithmetic
 
A complex number z lies on the curve |z+6| =3.  The largest magnitude of |z+3| will be: a. 6  b. 3  c. 36  d. 12
 
 
 
Determinants & Matrices det                                  = a  det                             -   b  det                             +  c  det                             =  aei  +  bfg  +  cdh  -  afh  -  bdi  -  ceg =  a ( ei  -  fh ) -  b ( di  -  fg ) +  c ( dh  -  eg )
Sampler
 
First find the cofactor of each element.                                                                                                                                        Solution: Find the adjoint of the following matrix:                                       Example:
As a result the cofactor matrix of A is                                          Finally the adjoint of A is the transpose of the cofactor matrix:                                                        
C - Cofactor Inverse of a matrix
 
Calculus  - sample questions a. 7e  b. 7  c. 2e  d. 2
 
 
 
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Jmet Ppt3 Higher Maths

  • 2.
  • 4. Rectangular form : Any complex number z can be uniquely represented as a point in the x-y plane, where the x-coordinate is Re z and the y-coordinate is Im z. - You can think of i as a unit vector in the maginary" (y) direction. - The magnitude of z is just the length of the vector from the origin. Polar form : We can also write z in polar form as:
  • 6.  
  • 7. A complex number z lies on the curve |z+6| =3. The largest magnitude of |z+3| will be: a. 6 b. 3 c. 36 d. 12
  • 8.  
  • 9.  
  • 10.  
  • 11. Determinants & Matrices det                            = a det                     - b det                     + c det                     = aei + bfg + cdh - afh - bdi - ceg = a ( ei - fh ) - b ( di - fg ) + c ( dh - eg )
  • 13.  
  • 14. First find the cofactor of each element.                                                                                                                                        Solution: Find the adjoint of the following matrix:                                       Example:
  • 15. As a result the cofactor matrix of A is                                          Finally the adjoint of A is the transpose of the cofactor matrix:                                                        
  • 16. C - Cofactor Inverse of a matrix
  • 17.  
  • 18. Calculus - sample questions a. 7e b. 7 c. 2e d. 2
  • 19.  
  • 20.  
  • 21.