Question

Vectorcardiography Suppose the voltage vector of a healthy heart is given by [0.3, 20.2]. Cardiac abnormalities result in changes to this vector. Each abnormality can be viewed as a change of a healthy heart voltage vector into a pathological voltage vector through matrix multiplication. For each of the following heart pathologies, find a matrix that produces the pathological voltage vector from a healthy voltage vector. (a) Left anterior hemiblock: h =[0.3, 0.2], (b) Left posterior hemiblock: h =[20.3, 20.2]

(c) Apical ischemia: h =[20.3, 0.2]
(d) Chronic obstructive pulmonary disease:h =[0.1, 20.0667]

Answer 1

To find the matrix that produces the pathological voltage vector from a healthy voltage vector, use the formula: Pathological voltage vector = Matrix * Healthy voltage vector. Calculate the matrices for each heart pathology.

Step-by-step explanation:

To find the matrix that produces the pathological voltage vector from a healthy voltage vector, we can use the formula:

Pathological voltage vector = Matrix * Healthy voltage vector

Let's calculate the matrices for each of the heart pathologies:

(a) Left anterior hemiblock: [0.3, 0.2] -> [0.3, 0.2] = [1, 0]

(b) Left posterior hemiblock: [20.3, 20.2] -> [20.3, 20.2] = [1, 1]

(c) Apical ischemia: [20.3, 0.2] -> [20.3, 0.2] = [1, 0]

(d) Chronic obstructive pulmonary disease: [0.1, 20.0667] -> [0.1, 20.0667] = [1, 1]

Answer 2

Please see attachment

Step-by-step explanation:

Please see attachment