Compute the following-1 - 4 - x-6 8 - 5 - 16 2 - 8 - 511lendbmatrix -beginbmatrix 12 - 7 - 6 8 - 0 - 5113 - 2 - 411endbmatrix

[ 1 amp; 4 amp; 6; 8 amp; 5 amp; 16; 2 amp; 8 amp; 5; ] +[ 12 amp; 7 amp; 6; 8 amp; 0 amp; 5; 3 amp; 2 amp; 4; ...

Byju's Answer

Standard XII

Mathematics

Scalar Multiplication of a Matrix

Compute the f...

Question

Compute the following:
$(i i i) ⎡ ⎢ ⎣ \begin{matrix} - 1 & 4 & - 6 8 & 5 & 16 2 & 8 & 5 \end{matrix} ⎤ ⎥ ⎦ + ⎡ ⎢ ⎣ \begin{matrix} 12 & 7 & 6 8 & 0 & 5 3 & 2 & 4 \end{matrix} ⎤ ⎥ ⎦$

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Solution

$⎡ ⎢ ⎣ \begin{matrix} - 1 & 4 & - 6 8 & 5 & 16 2 & 8 & 5 \end{matrix} ⎤ ⎥ ⎦ + ⎡ ⎢ ⎣ \begin{matrix} 12 & 7 & 6 8 & 0 & 5 3 & 2 & 4 \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} - 1 + 12 & 4 + 7 & - 6 + 6 8 + 8 & 5 + 10 & 16 + 5 2 + 3 & 8 + 2 & 5 + 4 \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} 11 & 11 & 0 16 & 5 & 21 5 & 10 & 9 \end{matrix} ⎤ ⎥ ⎦$

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Compute the indicated product.
$[\begin{matrix} 3 & - 1 & 3 - 1 & 0 & 2 \end{matrix}]$ $⎡ ⎢ ⎣ \begin{matrix} 2 & - 3 1 & 0 3 & 1 \end{matrix} ⎤ ⎥ ⎦$

What is the value of $x$ when $5 \frac{1}{2} : x :: 8 \frac{1}{2} : \frac{1}{4}$ ?

Question 68 (i)

If $A = 3 x^{2} - 4 x + 1, B = 5 x^{2} + 3 x - 8 a n d C = 4 x^{2} - 7 x + 3$ , then find

(A + B) - C

Q. Compute mode of the following distribution by inspection method.

$χ$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$
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Question 68

Using the frequency table, answer the following:

$\begin{matrix} Marks(Obtained out of 10) & 4 & 5 & 7 & 8 & 9 & 10 Frequency & 5 & 10 & 8 & 6 & 12 & 9 \end{matrix}$
10 Marks has the highest frequency ?

Compute the following: (iii)⎡⎢⎣−14−68516285⎤⎥⎦+⎡⎢⎣1276805324⎤⎥⎦

⎡⎢⎣−14−68516285⎤⎥⎦+⎡⎢⎣1276805324⎤⎥⎦=⎡⎢⎣−1+124+7−6+68+85+1016+52+38+25+4⎤⎥⎦=⎡⎢⎣11110165215109⎤⎥⎦

Compute the following:
$(i i i) ⎡ ⎢ ⎣ \begin{matrix} - 1 & 4 & - 6 8 & 5 & 16 2 & 8 & 5 \end{matrix} ⎤ ⎥ ⎦ + ⎡ ⎢ ⎣ \begin{matrix} 12 & 7 & 6 8 & 0 & 5 3 & 2 & 4 \end{matrix} ⎤ ⎥ ⎦$