TBQ - Prove the following — task. Maths TNSB Mentoring, Class 10 Crash course.

If \(A =\)

(\begin{array}{l} 1 & 9 \\ 3 & 4 \\ 8 & -4 \end{array})

, \(B =\)

(\begin{array}{l} 5 & 7 \\ 3 & 3 \\ 3 & 0 \end{array})

then, verify that

(i) \(A + B = B + A\)

(ii) \(A + (-A) = (-A) + A = 0\)

Answer:

Question - (i):

\(A + B\) \(=\)

(\begin{array}{l} i & i \\ i & i \\ i & i \end{array})

.......(1)

\(B + A\) \(=\)

(\begin{array}{l} i & i \\ i & i \\ i & i \end{array})

.......(2)

Equation (1) \(=\) Equation (2)

Hence, verified.

Question - (ii):

\(-A\) \(=\)

(\begin{array}{l} i & i \\ i & i \\ i & i \end{array})

\(A + (-A)\) \(=\)

(\begin{array}{l} i & i \\ i & i \\ i & i \end{array})

.......(1)

\((-A) + A\) \(=\)

(\begin{array}{l} i & i \\ i & i \\ i & i \end{array})

.......(2)

From equation (1) and (2), we have \(A + (-A) = (-A) + A = 0\).

Hence, verified.

Did you find an error?

10. TBQ - Prove the following