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Home / Doubts and Solutions/ICSE/Class 12 Science/Mathematics

if the matrix  [ 0    6 - 5x]    is symmetric, find the values of x.

                    [ x²     x + 3]

Asked by drawing13334 30th August 2018, 11:49 AM
Answered by Expert
Answer:
begin mathsize 16px style open square brackets table row 0 cell space space space 6 space minus space 5 straight x end cell row cell straight x squared end cell cell straight x space plus space 3 end cell end table close square brackets Since comma space the space matric space is space symmetric. straight x squared space equals space space 6 space minus space 5 straight x rightwards double arrow straight x squared space plus space 5 straight x space minus 6 space equals 0 rightwards double arrow straight x squared space plus 6 straight x space minus straight x space minus 6 space equals 0 rightwards double arrow straight x left parenthesis straight x space plus space 6 right parenthesis space minus 1 space left parenthesis straight x space plus space 6 right parenthesis space equals space 0 rightwards double arrow open parentheses straight x space plus space 6 close parentheses open parentheses straight x space minus 1 close parentheses space equals space 0 straight x space equals space minus 6 space or space straight x space equals space 1 end style
Answered by Expert 30th August 2018, 1:24 PM
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Tags: symmetric matrix quadratic-equation solution-set solution-of-the-equation
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