Let A - - 1 6- 2 5 - B - - 3 4- 4 9 - then A - B - 4 6- 10 14 -

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Addition and Subtraction of a Matrix

Let A = [ 1 6...

Question

Let A = $[\begin{matrix} 1 & 6 2 & 5 \end{matrix}]$ , B = $[\begin{matrix} 3 & 4 4 & 9 \end{matrix}]$ then A + B = $[\begin{matrix} 4 & 6 10 & 14 \end{matrix}]$

True

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False

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Solution

The correct option is A
True

We know that when we add two matrices say A&B, A+B, the resultant matrix will have elements which are sum of corresponding elements of A&B.

So $[\begin{matrix} 1 & 6 2 & 5 \end{matrix}]$ + $[\begin{matrix} 3 & 4 4 & 9 \end{matrix}]$

= $[\begin{matrix} 1 & + & 3 & 6 & + & 4 2 & + & 4 & 5 & + & 9 \end{matrix}]$

= $[\begin{matrix} 4 & 10 6 & 14 \end{matrix}]$ , which is the correct answer. Hence the statement is true.

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Similar questions

Q. Let A =

⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 1 2 & 1 & - 3 1 & 1 & 1 \end{matrix} ⎤ ⎥ ⎦

and 10 B=

⎡ ⎢ ⎣ \begin{matrix} 4 & 2 & 2 - 5 & 0 & α 1 & - 2 & 3 \end{matrix} ⎤ ⎥ ⎦

. If B is the inverse of matrix A, then

α

Let A = $[\begin{matrix} 1 & 6 2 & 5 \end{matrix}]$ , B = $[\begin{matrix} 3 & 4 4 & 9 \end{matrix}]$ then A + B = $[\begin{matrix} 4 & 6 10 & 14 \end{matrix}]$

Q. If

[\begin{matrix} a + 2 b & 2 c - d c + 4 d & 4 b - a \end{matrix}] = [\begin{matrix} 10 & 2 37 & 14 \end{matrix}]

, then find the values of

a, b, c, d

respectively.

Q. Let

A \subset B

then

A^{'} \cap B^{'} =

Q. Let

∣ ∣ ¯ ¯ ¯ a + ¯ ¯ b ∣ ∣ = ∣ ∣ ¯ ¯ ¯ a - ¯ ¯ b ∣ ∣

. If

∣ ∣ ¯ ¯ ¯ a \times ¯ ¯ b ∣ ∣ = λ ∣ ∣ ¯ ¯ ¯ a ∣ ∣

, then

λ =

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Let A = [1625], B = [3449] then A + B =[461014]

The correct option is A True We know that when we add two matrices say A&B, A+B, the resultant matrix will have elements which are sum of corresponding elements of A&B. So [1625] + [3449] = [1+36+42+45+9] = [410614], which is the correct answer. Hence the statement is true.

Let A = $[\begin{matrix} 1 & 6 2 & 5 \end{matrix}]$ , B = $[\begin{matrix} 3 & 4 4 & 9 \end{matrix}]$ then A + B = $[\begin{matrix} 4 & 6 10 & 14 \end{matrix}]$