Answer:
a. AB: 3 by 7
b. BA: N by N
c. A^TB: N by N
d. BC: 6 by 3
Step-by-step explanation:
Given
Required
The dimension of the following matrices
As a general rule:
For A * B to be successful, the columns in a must equal the rows in B
Using this rule, we have:
So:
The column numbers of B does not equal the row numbers of A.
Hence, BA does not exist
implies that:
If , then
So:
The column numbers of A^T does not equal the row numbers of B.
Hence, does not exist
Answer:
x = ±2, 3 are the critical points of the given inequality.
Step-by-step explanation:
The given inequality is
To find the critical points we will equate the numerator and denominator of the inequality to zero.
For numerator,
(x - 2)(x + 2) = 0
x = ±2
For denominator,
x² - 5x + 6 = 0
x² - 3x -2x + 6 = 0
x(x - 3) -2(x - 3) = 0
(x - 3)(x - 2) = 0
x = 2, 3
Therefore, critical points of the inequality are x = ±2, 3 where the sign of the inequality will change.
Answer:
1.7 - 1.5 = 1.2
11.2 - 3.1 = 8.1
Step-by-step explanation:
