Suppose the augmented matrix of a linear system has the following reduced echelon form: Find the numbers and  such that the solution of the system in vector parametric form is   =[a] =[b] =[c] =[d]

Consider the matrix Find the numbers and such that the vector belongs to the null space of . =[a] =[b]

The matrices and  are given below

The solutions of the system of linear equations

Consider the matrix 

A 58-year-old male with PMH of hypertension, is brought into the ED by his family for evaluation of headache, nausea, blurry vision, and confusion. Blood pressure is 235/130 mmHg.  A fundoscopic exam shows retinal hemorrhages, exudates, and papilledema.  These findings would suggest which of the following conditions?

A 20-year-old male presents to the primary care office for a routine wellness visit and is without complaints.  The patient states that he feels entirely well, denies recent acute illness, and has no significant PMH.  On physical examination, heart rate is noted to be irregular.  A baseline EKG is obtained.   Based on this rhythm strip (see image below), what is your initial diagnosis?     

A 64-year-old female with PMH of hyperthyroidism presents to her primary care physician with new-onset palpitations. The patient states that she has intermittent palpitations, and she is worried about heart disease. She is currently asymptomatic and reports no chest pain or shortness of breath. An EKG is obtained (see image below). Vital signs reveal a T 98.6° F, BP 134/88 mm Hg, HR 108 beats/min, and RR 12/min. The pulse is noted to be irregularly irregular.  Based on this information, which of the following conditions is the most likely diagnosis for this patient?    

A 70-year-old man was brought to the Emergency Department by ambulance with sudden onset of severe, chest pain, described as tearing, which radiates down the back for the past 25 min. He admits to a long-standing history of hypertension that has not been treated effectively for the past 25 years. He states that he feels short of breath, is beginning to feel dizzy, and his legs are   becoming weak. His vital signs are as follows: RR: 24/min; HR: 110/min;  BP: 210/152 mm Hg in   right arm and 214/156 mm Hg in the left arm. He is afebrile.Which of the following conditions is the most likely diagnosis for this patient?

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