Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

If A and B are symmetric matrices of the same order then show that (a) AB + BA is symmetric(b) AB - BA is skew symmetric.
Asked by Topperlearning User | 29 Apr, 2016, 04:02: PM
answered-by-expert Expert Answer

Answered by | 29 Apr, 2016, 06:02: PM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
If 3 2x-7 4 5x-7 1 2x-5 4 x-1 -1 is a skew- symmetric matrix then x is equal to:
question image
Asked by varunchauhan097 | 25 Apr, 2021, 08:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Give an example of a symmetric matrix order 3×3. Let a and b be two symmetric matrics of the same order under what conditions AB will also be symmetric
Asked by yadavyogi294 | 07 Oct, 2020, 09:41: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If A=[0 b -2            3 1 3            2a 3 -1] is a symmetric matrix find value of A and B
Asked by ashik24102002 | 09 Jun, 2019, 01:30: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
inverse of matrix   
Asked by dipanshupatidar77 | 14 Apr, 2019, 09:57: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Define transpose of a matrix with an example.
Asked by Topperlearning User | 18 Sep, 2017, 12:30: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Define symmetric matrix with the help of an example.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Define skew-symmetric matrix with the help of an example.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
  begin mathsize 12px style If space straight A to the power of straight T space equals space open square brackets table row 1 cell negative 1 end cell 2 row 4 3 cell negative 2 end cell end table close square brackets space space and space space straight B space equals space open square brackets table row 2 cell negative 3 end cell row 1 cell negative 4 end cell row 2 cell negative 2 end cell end table close square brackets space then space show space that space open parentheses straight A space plus space straight B close parentheses to the power of straight T space equals space straight A to the power of straight T space end exponent plus space straight B to the power of straight T end style
Asked by Topperlearning User | 21 Sep, 2017, 11:38: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
  begin mathsize 12px style If space straight A to the power of straight T space end exponent equals space open square brackets table row 1 cell negative 1 end cell 2 row 4 3 cell negative 2 end cell end table close square brackets space and space straight B space equals space open square brackets table row 2 cell negative 3 end cell row 1 cell negative 4 end cell row 2 cell negative 2 end cell end table close square brackets space then space show space that space left parenthesis straight A space minus space straight B space right parenthesis to the power of straight T space equals space straight A to the power of straight T space minus space straight B to the power of straight T end style
Asked by Topperlearning User | 21 Sep, 2017, 10:26: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
  begin mathsize 12px style For space the space matrices space straight A space equals space open square brackets table row 2 7 cell negative 1 end cell row 3 cell negative 1 end cell 4 end table close square brackets space and space straight B space equals space open square brackets table row 1 cell negative 2 end cell row cell negative 4 end cell 0 row 3 1 end table close square brackets space verify space that space left parenthesis AB right parenthesis to the power of straight T space equals space straight B to the power of straight T straight A to the power of straight T end style
Asked by Topperlearning User | 21 Sep, 2017, 12:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×