Ask a Doubt
Request a call back

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

CBSE Class 12-science Answered

How to perform elementary operations on matrices ?

Asked by jyotigupta171 | 09 Jun, 2015, 07:20: PM
answered-by-expert Expert Answer
Find space the space inverse space of space straight A equals open square brackets table row 1 3 3 row 1 4 3 row 1 3 4 end table close square brackets In space order space to space use space elementary space row space operations comma space write space straight A equals IA open square brackets table row 1 3 3 row 1 4 3 row 1 3 4 end table close square brackets equals open square brackets table row 1 0 0 row 0 1 0 row 0 0 1 end table close square brackets straight A rightwards double arrow open square brackets table row 1 3 3 row 0 1 0 row 0 0 1 end table close square brackets equals open square brackets table row 1 0 0 row cell negative 1 end cell 1 0 row cell negative 1 end cell 0 1 end table close square brackets straight A space space open square brackets Applying space straight R subscript 2 left right arrow straight R subscript 2 minus straight R subscript 1 comma space straight R subscript 3 left right arrow straight R subscript 3 minus straight R subscript 1 close square brackets rightwards double arrow open square brackets table row 1 0 3 row 0 1 0 row 0 0 1 end table close square brackets equals open square brackets table row 4 cell negative 3 end cell 0 row cell negative 1 end cell 1 0 row cell negative 1 end cell 0 1 end table close square brackets straight A open square brackets Applying space straight R subscript 1 left right arrow straight R subscript 1 minus 3 straight R subscript 2 close square brackets rightwards double arrow open square brackets table row 1 0 0 row 0 1 0 row 0 0 1 end table close square brackets equals open square brackets table row 7 cell negative 3 end cell cell negative 3 end cell row cell negative 1 end cell 1 0 row cell negative 1 end cell 0 1 end table close square brackets straight A open square brackets Applying space straight R subscript 1 left right arrow straight R subscript 1 minus 3 straight R subscript 3 close square brackets therefore straight A to the power of negative 1 end exponent equals open square brackets table row 7 cell negative 3 end cell cell negative 3 end cell row cell negative 1 end cell 1 0 row cell negative 1 end cell 0 1 end table close square brackets
Answered by Prasenjit Paul | 10 Jun, 2015, 09:11: AM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
Example 17 Solve the following system of equations by matrix method. 3x-2y+3z =8 2x+y-z=1 4x-3y+2z = 4
Asked by mahammadsharifdakhani67 | 16 Apr, 2024, 07:43: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
construct of 2 × 3 matrix a=[aij] whose elements are aij=ij
Asked by antra1799 | 18 Mar, 2024, 07:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
how to solve the adjoint of 3×3 matrix
question image
Asked by rahulsharmaaps4 | 03 Jan, 2023, 10:46: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
eigen vectors
question image
Asked by dakarapuaditya123 | 26 Dec, 2022, 08:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
matrices
Asked by Shaikmahboob102003 | 29 Jun, 2022, 05:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Proof LHS=RHS
question image
Asked by shivamaihar25 | 03 Jul, 2021, 10:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
topic- matrices
question image
Asked by cheragsaxena1607 | 26 Jun, 2021, 01:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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
6, 7,
question image
Asked by fizzapanda | 06 Oct, 2020, 12:30: 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
×