If A - - 2 3 4- -3 4 8 - B - - -1 4 7- -3 -2 5 - and A-B - - 1 a b- c 2 13 - then find the value of a-b-c-

The correct option is A 12 Given, #160; A = [ 2 amp; 3 amp; 4; 3 amp; 4 amp; 8 ], B = [ 1 amp; 4 amp; 7; 3 amp; 2 am ...

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Byju's Answer

Standard XII

Mathematics

Addition and Subtraction of a Matrix

If A = [ 2 ...

Question

If $A = [\begin{matrix} 2 & 3 & 4 - 3 & 4 & 8 \end{matrix}],$ $B = [\begin{matrix} - 1 & 4 & 7 - 3 & - 2 & 5 \end{matrix}]$ and $A + B = [\begin{matrix} 1 & a & b c & 2 & 13 \end{matrix}],$ then find the value of $a + b + c .$

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Solution

The correct option is A $12$
Given, $A = [\begin{matrix} 2 & 3 & 4 - 3 & 4 & 8 \end{matrix}],$ $B = [\begin{matrix} - 1 & 4 & 7 - 3 & - 2 & 5 \end{matrix}]$ and $A + B = [\begin{matrix} 1 & a & b c & 2 & 13 \end{matrix}]$ ....(1)
Therefore,
$A + B = [\begin{matrix} 2 & 3 & 4 - 3 & 4 & 8 \end{matrix}] + [\begin{matrix} - 1 & 4 & 7 - 3 & - 2 & 5 \end{matrix}] = [\begin{matrix} 2 - 1 & 3 + 4 & 4 + 7 - 3 - 3 & 4 - 2 & 8 + 5 \end{matrix}] = [\begin{matrix} 1 & 7 & 11 - 6 & 2 & 13 \end{matrix}]$ .....(2)
By equating (1) and (2), we get
$a + b + c = 7 + 11 - 6 = 12$

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Similar questions

If A = {3, 6, 9, 12, 15, 18, 21}
B = {2, 4, 6, 8, 10, 12, 14, 16}
C = {5, 10, 15, 20}

$\begin{matrix} A & B 1. B - C & A . {5, 10, 20} 2. A - C & B . {3, 9, 15, 21} 3. C - (A - B) & C . {3, 6, 9, 12, 18, 21} 4. C \cap (A - B) & D . {15} E . {2, 4, 6, 8, 12, 14, 16} \end{matrix}$

Q. If

\sin (A - B) = \frac{1}{2} and \cos (A + B) = \frac{1}{2}, 0 ° < (A + B) \leq 90 ° and A > B

then values of A and B are
(a) (60°, 30°)
(b) (60°, 15°)
(c) (45°, 15°)
(d) (60°, 25°)

Q. If

A = {3, 6, 9, 12, 15, 18, 21}; B = {4, 8, 12, 16, 20}

C = {2, 4, 6, 8, 10, 12, 14, 16}; D = {5, 10, 15, 20}

; find
(i)

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(ii)

B - A

(iii)

C - A

(iv)

D - A

(v)

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(vi)

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(vii)

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(viii)

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If $a + b + c = 15$ and $a^{2} + b^{2} + c^{2} = 83$ then find the value of $a^{3} + b^{3} + c^{3} - 3 a b c$

Q. If

A = [\begin{matrix} 2 & - 1 3 & 4 \end{matrix}] B = [\begin{matrix} 5 & - 2 7 & 4 \end{matrix}]

and

C = [\begin{matrix} 2 & 5 - 3 & - 8 \end{matrix}],

find the value of

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If A=[234−348], B=[−147−3−25] and A+B=[1abc213], then find the value of a+b+c.

The correct option is A 12Given, A=[234−348], B=[−147−3−25] and A+B=[1abc213] ....(1)Therefore, A+B=[234−348]+[−147−3−25]=[2−13+44+7−3−34−28+5]=[1711−6213] .....(2)By equating (1) and (2), we geta+b+c=7+11−6=12

If $A = [\begin{matrix} 2 & 3 & 4 - 3 & 4 & 8 \end{matrix}],$ $B = [\begin{matrix} - 1 & 4 & 7 - 3 & - 2 & 5 \end{matrix}]$ and $A + B = [\begin{matrix} 1 & a & b c & 2 & 13 \end{matrix}],$ then find the value of $a + b + c .$