Last updated at Dec. 16, 2024 by Teachoo
Here, scalar means a number
What will be 3A?
Here, 3 will be multiplied to each element
Let’s take another example
Note: Multiplying a number to a matrix is different than
Let A = [■8(3&2@1&4)] 3A = 3[■8(3&2@1&4)] =[■8(3×3&3×2@3×1&3×4)] = [■8(9&6@3&12)] Let B = [■8(3&2@1&4@5&3)] −5B = −5[■8(3&2@1&4@5&3)] =[■8(−5×3&−5×2@−5×1&−5×4@−5×5&−5×3)] =[■8(−15&−10@−5&−20@−25&−15)] For matrix A = [■8(3&2@1&4)] Negative of A = −A = −1 × A = −1 × [■8(3&2@1&4)] = [■8(−3&−2@−1&−4)] Similarly, If X = [■8(−9&12&−8@5&6&0)] −X = [■8(9&−12&8@−5&−6&0)] Note: When calculating negative, we change the signs of all the elements
Multiplication of matrices
About the Author
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo