Given [ ll a & b c & d ] X = [ l p q ]. The order of matrix X is: - Vidyadip

MCQ

Given $\left[\begin{array}{ll}a & b \\ c & d\end{array}\right] \times X =\left[\begin{array}{l}p \\ q\end{array}\right]$. The order of matrix X is:

A
$2 \times 2$
B
$1 \times 2$
✓
$2 \times 1$
D
$1 \times 1$

✓

Answer

Correct option: C.

$2 \times 1$

(c) $2 \times 1$
Explanation:
$\begin{array}{l} AX = B \\ A =\left[\begin{array}{ll}a & b \\ c & d\end{array}\right]_{(2 \times 2)}, B =\left[\begin{array}{l}p \\ q\end{array}\right]_{(2 \times 1)}\end{array}$
Let the order of X be $(m \times n)$
... The order of matrix $X$ is $(2 \times 1)$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Matrices→Matrices — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

The third proportional to $\frac{36}{15}$ and 3 is :

If a customer bought three items worth 400, 500 and 700 at discounts 12%, 15% and 20% respectively, then the amount of bill for the intra-state transaction, if the rate of GST is 18%, is:

Which of the following is/are correct?
Statement (A): A product has a basic cost price of 500, and the retailer desires a profit margin of 30%.
Statement (B): The SGST rate applied is 6% and the CGST rate is also 6%.
Statement (C): The final price paid by the consumer, after including SGST and CGST, is less than 650.

Anushka bought 400 g of almonds at ₹ $ 1200$ per kg . If the rate of GST is $5 \%$, then the amount paid by Anushka is :

The number of possible solutions of a quadratic equation are:

The reflection of a point P in the $y$-axis is $P ^{\prime}(-4,-2)$. The coordinates of point P are :

If $M =\left[\begin{array}{ll}1 & 2\end{array}\right]$ and $N =\left[\begin{array}{l}2 \\ 1\end{array}\right]$, then the order of matrix MN is:

The value of $k$ for which the equation $x^2+4 k x+\left(k^2-k+2\right)=0$ has equal roots, is:

Let the map of a plane figure be drawn to the scale $1: p$. Then scale factor $k=$ ___________ , length in the map $=k \times$ (Actual length).

If Kavita deposited ₹ $ 900$ per month for $2 \frac{1}{2}$ years in a recurring deposit account, then the total money she deposited in the account is :