If a-b 2 a-c 2 a-b 3 c-d-15013- find the value of b

A b2a+c2a b3c+d= 15013Corresponding #160;elements #160;of #160;equal #160;matrices #160;are #160;equal. #8658;a b= 1 #160; #160; #160; #16 ...

You visited us 3 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Conjugate of a Matrix

If a-b 2 a+c ...

Question

If $[\begin{matrix} a - b & 2 a + c \\ 2 a - b & 3 c + d \end{matrix}] = [\begin{matrix} - 1 & 5 \\ 0 & 13 \end{matrix}]$ , find the value of b.

Open in App

Solution

$[\begin{matrix} a - b & 2 a + c \\ 2 a - b & 3 c + d \end{matrix}] = [\begin{matrix} - 1 & 5 \\ 0 & 13 \end{matrix}] Corresponding elements of equal matrices are equal . \Rightarrow a - b = - 1 and 2 a - b = 0 \Rightarrow a - b = - 1 and 2 a = b \Rightarrow a - 2 a = - 1 and 2 a = b \Rightarrow a = 1 and 2 a = b \Rightarrow a = 1 and b = 2$

Hence, the value of b is 2.

Suggest Corrections

Similar questions

Q. Find the value of

b

[\begin{matrix} a - b & 2 a + c 2 a - b & 3 c + d \end{matrix}] = [\begin{matrix} - 1 & 5 0 & 13 \end{matrix}]

Q. Find the value of

a, b, c

and

d

from the equation:

[\begin{matrix} a - b & 2 a + c 2 a - b & 3 c + d \end{matrix}] = [\begin{matrix} - 1 & 5 0 & 13 \end{matrix}]

Q. Find the coefficient of

a^{3} b^{3} c

in the expansion

{(2 a + b + 3 c)}^{7}

Find the values of a,b,c and d from the equation $[\begin{matrix} a - b & 2 a + c 2 a - b & 3 c + d \end{matrix}] = [\begin{matrix} - 5 & 5 0 & 13 \end{matrix}] .$

Q. If

a + b + c = 0

, then the value of

a^{2} (b + c) + b^{2} (c + a) + c^{2} (a + b)

is:

Join BYJU'S Learning Program

If a-b2a+c2a-b3c+d=-15013, find the value of b.

a-b2a+c2a-b3c+d=-15013Corresponding elements of equal matrices are equal.⇒a-b=-1 and 2a-b=0⇒a-b=-1 and 2a=b⇒a-2a=-1 and 2a=b⇒a=1 and 2a=b⇒a=1 and b=2 Hence, the value of b is 2.

If $[\begin{matrix} a - b & 2 a + c \\ 2 a - b & 3 c + d \end{matrix}] = [\begin{matrix} - 1 & 5 \\ 0 & 13 \end{matrix}]$ , find the value of b.