You visited us 1 times! Enjoying our articles? Unlock Full Access!

Multiplication of Matrices

If ℝ is the s...

Question

If $R$ is the set of all real numbers, what do the cartesian products $R \times R$ and $R \times R \times R$ represent?

Open in App

Solution

The cartesian product $R \times R$ represents the set $R \times R = {(x, y) : x, y \in R}$ which represents the co-ordinates of all the points in two - dimensional space and the cartesian product $R \times R \times R$ represents the set $R \times R \times R = {(x, y, z) : x, y, z \in R}$ which represents the co-ordinates of all points in three - dimensional space.

Suggest Corrections

Similar questions

K = {k : 0 \leq k \leq 1, k \in R},

R

R

f : R \to R

f (x) = x + 10

A = {(x, y) \in R \times R | 2 x^{2} + 2 y^{2} - 2 x - 2 y = 1},

B = {(x, y) \in R \times R | 4 x^{2} + 4 y^{2} - 16 y + 7 = 0}

C = {(x, y) \in R \times R | x^{2} + y^{2} - 4 x - 2 y + 5 \leq r^{2}}

| r |

A \cup B \subseteq C

(i) {x : x \in R, - 4 < x \leq 6}

(i i) {x : x \in R, - 12 < x < - 10}

(i i i) {x : x \in R, 0 \leq x < 7}

(i v) {x : x \in R, 3 \leq x \leq 4}

: R \to R

g : R \to R

f^{'} (x) = (e^{(f (x) - g (x))}) g^{'} (x)

x ϵ R

f (1) = g (2) = 1

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program