Q. 55.0( 5 Votes )

# If and are two square matrices, find A B and hence solve the system of linear equations: X – y = 3, 2x + 3y + 4z = 17, y + 2z = 7.

Answer :

A = B =

AB =

AB =

Now, we can see that it is AB = 6I. where I is the unit Matrix

Or, A ^{– 1} =

Now the given equation can be written as:

A X B

Or, X = A ^{– 1}B

=

=

X =

Hence, x = 2,y = – 1 and z = 4

Rate this question :

Find the adjoint of each of the following Matrices and Verify that (adj A) A = |A| I = A (adj A)

Verify that (adj A) A=|A| I=A (adj A) for the above matrices.

RD Sharma - Volume 1Solve the following system of equations by matrix method:

2y – z = 1

x – y + z = 2

2x – y = 0

RD Sharma - Volume 1Find the adjoint of each of the following Matrices.

Verify that (adj A) A=|A| I=A (adj A) for the above matrices.

RD Sharma - Volume 1Solve the following system of equations by matrix method:

3x + 7y = 4

x + 2y = – 1

RD Sharma - Volume 1Solve the following system of equations by matrix method:

x + y –z = 3

2x + 3y + z = 10

3x – y – 7z = 1

RD Sharma - Volume 1Find the adjoint of each of the following Matrices and Verify that (adj A) A = |A| I = A (adj A)

Verify that (adj A) A=|A| I=A (adj A) for the above matrices.

RD Sharma - Volume 1If find and hence solve the system of equation

Mathematics - Board PapersIf , show that adj A=3A^{T}.

Solve the following system of equations by matrix method:

3x + 4y + 2z = 8

2y – 3z = 3

x – 2y + 6z = – 2

RD Sharma - Volume 1Find the inverse of each of the following matrices:

RD Sharma - Volume 1