MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

nth Term of A.P

lf the traces...

Question

lf the traces of the matrices $A$ and $B$ are $20$ and $8$ , then trace of $A + B =$

A

28

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

20

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

- 8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

12

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $28$
Given $T r (A) = 20, T r (B) = 8$
We know $T r (A + B) = T r (A) + T r (B) = 28$

Suggest Corrections

thumbs-up

0

Similar questions

Q. If the traces of

A, B

20

- 8

, then the trace of

A + B

A

B

are two square matrices such that the trace of

A B = 30,

then the trace of

B A

Q. Let U= {4, 8, 12, 16, 20, 24, 28} A= { 8, 16, 24} and B= { 4, 16, 20, 28}.
Find

(A \cup B)^{'}

(A \cap B)^{'}

Q. The trace of a square matrix is defined as the sum of the principal diagonal elements. For real numbers

a

b,

if the trace of matrices

A = [\begin{matrix} 2 a^{2} & 5 3 & 9 - 6 b \end{matrix}]

B = [\begin{matrix} - b^{2} & 2 3 & 8 a - 8 \end{matrix}]

are equal, then

2 a - b

Q. Let three matrices

A = [\begin{matrix} 2 & 1 4 & 1 \end{matrix}]

B = [\begin{matrix} 3 & 4 2 & 3 \end{matrix}]

C = [\begin{matrix} 3 & - 4 - 2 & 3 \end{matrix}]

t r (A) + t r (\frac{A B C}{2}) t r (\frac{A {(B C)}^{2}}{4}) + t r (\frac{A {(B C)}^{3}}{8}) + . . . . + \infty

t r (A)

represents trace of matrix

A

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Arithmetic Progression

MATHEMATICS

Watch in App

explore_more_icon

Explore more

nth Term of A.P

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon